Match each transformation of function f to a feature of the transformed function.
Answers
By analyzing the parent function graph, we will see that:
1) m(x) = -f(x) ⇒ "function decreases as x increases"2) h(x) = f(x) + 2 ⇒ "asymptote of y = 2"3) j(x) = f(x + 2) ⇒ "y-intercept at (0, 4)"4) g(x) = 2*f(x) ⇒ "y-intercept at (0, 2)"What thing does each transformation?
Let's list each transformation and let's see which is the correct option for each one.
1) m(x) = -f(x).
This is a reflection over the x-axis, so, now the curve will open downwards. This means that now we have a decreasing function, so the correct option here is: "function decreases as x increases"
2) h(x) = f(x) + 2
This is a vertical translation of 2 units upwards. So it moves the whole graph 2 units upwards. Originally, you can see that in the left side we have an asymptote at y = 0, now that asymptote will be at y = 2.
So the correct option is: "asymptote of y = 2.
3) j(x) = f(x + 2)
This is a shift of 2 units to the left, notice that when we evaluate this in x = 0 we et:
j(0) = f(2) = 2^2 = 4
So the y-intercept os (0, 4).
4) g(x) = 2*f(x)
This is a vertical stretch of scale factor 2.
When we evaluate this in x = 0, we get:
g(0) = 2*f(1) = 2
So the y-intercept is at (0, 2).
If you want to learn more about transformations, you can read:
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Related Questions
Help!!!!!!!!!!!! Need answer fast!!!!!!!!!!!
In the figure shown, L is the center of the circle and PQ is a chord of the circle measuring 20 cm.
What is the length, in cm, of PL? Round to the nearest hundredth digit.
Show me:
(a) length of segment PM (1 point)
(b) what circle property did you use to find the length of PM (1 point)
(c) what formula/theorem did you use to calculate the length of segment PL (1 point)
(d) all math used to calculate the length of segment PL (1 point)
Round your answer to the nearest hundredth digit.
Answers
The value of PM is the circle is about 11.66 cm
What is Pythagoras theorem?
Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.
From the diagram:
PM = PQ/2 = 20 / 2 = 10 cm
Hence, using Pythagoras:
PL² = LM² + MP²
PL² = 6² + 10²
PL = 11.66 cm
The value of PM is the circle is about 11.66 cm
Find out more on Pythagoras theorem at: https://brainly.com/question/343682
Study the following diagram, where chords JK¯¯and LM¯¯ of circle V are equidistant from the center, shown by AV¯¯ and CV¯¯, which are congruent.
Which congruence statement is true?
JK=VM
AK=AV
JK=LM
VC=AJ
Answers
JK=LM (line from any point of circumference to another pointer of circumference)
If continuous random variable X is normally distributed, with µ = 8.7 and σ = 3.9, what is P(X > 14)?
12.30%
87.70%
91.31%
8.69%
Answers
Answer:
I believe it is number 3.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answers
Answer:
(-3, -6)
explanation:
When reflected across x axis, the x value will be same and y value will become negative.
original coordinates of D: (-3, 6)
so new coordinates: (-3, (-)6) = (-3, -6)the greatest integer that will divide both 520 and 1600 exactly.
Answers
Solve the quadratic equation by completing the square.
x^2+ 4x -3=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Answers
Find the measures of the numbered angles in rhombus ABCD .
look for all four measures numbered in the photo
Answers
Answer:
<1=54, <2=36, <3=90, <4=36
Step-by-step explanation:
in the rhombus shown, there are 4 congruent right triangles because the disgonals of a rhombus are perpendicular and the sides of a rhombus are congruent. We already know that the larger acute angles are all 54 degrees and we can use triangle sum to find that the smaller acute angles are all 36 degrees. Obviously the right angles are 90 degrees, so we can look at the picture and find the marked angles.
What is the radius of a circle with an area of 50. 24 square inches? Use 3. 14 for pi. Enter your answer in the box.
Answers
Answer:
4
Step-by-step explanation:
area of circle= pi*r^2
so lets make an equation50.24=3.14*x^2
first divide50.24/3.14=16
50.24/3.14= x^2
now simplify16=x^2
4=x
104 term in sequence -4,-1,2,5
Answers
ARITHMETIC SEQUENCE
an = a1 + (n-1)d
.
The formula above is used to get the nth term of an arithmetic sequence, but we can also use it to know the number of terms (n).
.
Given:
a1 = 4
d = a2 - a1 = 1 - 4 = -3
an = -29
n = ?
.
Solution:
an = a1 + (n-1)d
-29 = 4 + (n-1)-3
-29 = 4 + (-3n + 3)
-29 = -3n + 7
-29 - 7 = -3n
-36 = -3n
-36/-3 = -3n/-3
12 = n
.
Therefore, -29 is the 12th term of the arithmetic sequence 4, 1, -2, -5, ...
104(th) term in sequence -4, -1, 2, 5 would be 305.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is to find 104(th) term in sequence -4, -1, 2, 5.
The sequence given is a arithmetic progression. We can write the function for nth term as -
a{n} = a + (n - 1)d
a{104) = - 4 + 103 x 3
a{104} = - 4 + 309
a{104} = 305
Therefore, 104(th) term in sequence -4, -1, 2, 5 would be 305.
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express the product of 2x^2+7x-10 and x+5 in standard form
Answers
Answer:
2x³+17x²+25x-50
Step-by-step explanation:
Standard Form: All your numbers and variables in order of the highest exponent.
(2x²+7x-10)(x+5)
We want to distribute x and 5 to every single value.
2x³+7x²-10x+10x²+35x-50
Simplify.
2x³+17x²+25x-50
This is standard form because the highest values are on the left (x³ is larger than x²).
Find 20% of 75:please help
Answers
Answer:
hi its 15
Step-by-step explanation:
20% as a decimal is 0.20
0.20 x 75 is 15
give brainliest? (click the crown at the top)
John paid $150 for renting a boat for 5 hours. Which graph shows the relationship between the cost of renting a boat for different hours?
A. ✰ A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,15 and 2,30 and 3,45.
B. ✰ A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,150 and 2,150 and 3,150.
C. ✰ A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,30 and 2,60 and 3,90.
D. ✰ A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,60 and 2,120 and 3,180.
⋆ 20 points
⋆ Brainliest
Apologies if its hard to understand 3
Answers
Answer:
C
Step-by-step explanation:
150/5 would equate to 30, which would mean that the proportional relationship between the hours (x) and the amount of money per hour (y,30) would be represented as 30x
pls help
Carla and Joe are servers at a restaurant.
Carla received a 20% tip on a $55 dinner bill.
Joe received an 18% tip on a $70 dinner bill.
Who received the largest tip?
Answers
Answer:
Carla: 65 * 0.20 = $13 Joe: 80 * 0.18 = $14.40 Joe received higher tips :) hope this helps
How do you find the area of a triangle with base 21 and height of 3?
Answers
Answer:
Area= [tex]\frac{1}{2}[/tex]bh
Step-by-step explanation:
so, A= [tex]\frac{1}{2}[/tex](21)(3)= 31.5 [tex]m^{2}[/tex]
Answer:
Area = 31.5
Step-by-step explanation:
[tex]A=\frac{H_bb}{2}=\frac{3*21}{2}=31.5[/tex]
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The percentage of sales tax is 6%. What is the sales tax on a skateboard that costs $98?
Answers
Answer:
$5.88
Step-by-step explanation:
Step 1: Multiply 6 by 98.
6 × 98588Step 2: Divide 588 by 100.
588 ÷ 1005.88Therefore, the sales tax price is $5.88.
Answer:
I believe it would be $5.88
Can you please help me solve this???
Answers
Answer:
(5, 4)
Step-by-step explanation:
Use the formula at the top of the page:
(x, y)⇒(y, -x)
So, in this case, x = -4 and y = 5.
Use the formula, and you get:
(-4, 5)⇒(5, 4) ------ A negative number with a minus in front of it becomes a positive number.
I need helpppppppppppppppp
Answers
Answer:
b 60 -4x 50 +2x=2,800 is 50 +. 2x
Graph Angle ABC if A(-1,4), B(-3,-3), and C(3,1).
Use the measure angle tool to find the measure of angle ABC.
Enter the number only to the nearest tenth for a possible bonus point.
Answers
Answer:
40.4
Step-by-step explanation:
We don't have access to your drawing tools, so we have used our own. The attachment shows the triangle and the angle.
∠ABC ≈ 40.4°
50 pointsss tysm nnnnnn
Answers
Answer:
1 batch of sky blue paint:
blue paint = 2 cupswhite paint = 1 gallonClare can make 2 batches of sky blue paint by multiplying the components by 2:
2 batches of sky blue paint:
blue paint = 2 × 2 = 4 cupswhite paint = 1 × 2 = 2 gallonsSo she will need 4 cups of blue paint and 2 gallons of white paint to make 2 batches of sky blue paint.
To make a mixture that is a darker shade of blue, increase the proportion of blue paint and reduce the proportion of white paint.
To make a mixture that is a lighter shade of blue, increase the proportion of white paint and reduce the proportion of blue paint.
why is this the answer? PLEASE HELP
Answers
Answer:
[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]
Step-by-step explanation:
area of sector, A:
[tex]A = \dfrac{n}{360^\circ}\pi r^2[/tex]
n = measure of the central angle of the sector in degrees
r = radius of circle
Here we have n = 240°, and r = 16 ft.
[tex]A = \dfrac{240^\circ}{360^\circ}\pi \times (16~ft)^2[/tex]
[tex] A = \dfrac{2}{3}\pi \times 256~ft^2 [/tex]
[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 25 inches, and the length of the base is 20 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answers
Check the picture below.
The perimeter of the given triangle is 73.8 inches.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
The length of the altitude is 25 inches, and the length of the base is 20 inches.
Using the Pythagoras theorem, to find the hypotenuse of the triangle :
Hypotenus = √(25² + (20/2)²)
Hypotenus = √(625+ 100) = √725= 26.9 inches
The perimeter of a triangle :
(base + side 1 + side 2) = (20 + 26.9 + 26.9 ) = 73.8 inches
Therefore, the perimeter of the triangle is 73.8 inches.
Learn more about the perimeter of a triangle here:
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What is 10,274 - 100,000
Answers
Answer:
_89,726
Step-by-step explanation:
This would be a negative answer in less you mean 100,000 - 10,274.
This would be negative because 10,000 per say can't subtract 100,000 in less it goes on the negative side.
But if you meant 100,0000-10,274 it is the same answer just with no nefative sign
Hope this heos have a great day
Which expressions are equivalent
Answers
Order from greatest to least -8 -4.75 -0.9 -.25
Answers
Answer:
-.25,-0.9,-4.75,-8
Step-by-step explanation:
sorry if im wrong
Answer:
1. -0.25
2. -0.9
3. -4.75
4. -8
Step-by-step explanation:
Find the length of the second leg of the triangle round to the nearest hundredth
Answers
Answer:
[tex]\displaystyle \frac{3\sqrt{230}}{5}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b[/tex]
So, you have this:
[tex]\displaystyle 9,1 ≈ b[/tex]
I am joyous to assist you at any time.
Mrs. Mitchell tutors four students on Saturday for 60 minutes each and she takes a ten-minute break between each appointment. If she starts at 9:30 a.m., what time will she finish?
Answers
Answer:
2:00 PM
Step-by-step explanation:
time per student = 60 mins = 1 hr
number of student = 4
time of break = 10 mins
hr : mins
start: 9:30 AM
student 1: 1
break: 10
student 2: 1
break: 10
student 3: 1
break: 10
student 4: 1
[tex] - - - - - - [/tex]
13:60 --> 1 hr
= 14:00
2:00 PM (ANS)
Correct Answer = Brainliest <3
Answers
Answer:
[tex]( x + 15)(x-15)[/tex]
Step-by-step explanation:
[tex]x^2-225[/tex]
[tex]\mathrm{Rewrite\:}225\mathrm{\:as\:}15^2[/tex]
[tex]=x^2-15^2[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]x^2-15^2=\left(x+15\right)\left(x-15\right)[/tex]
[tex]\mathrm{\left(x+15\right)\left(x-15\right)}[/tex]
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Providing Brainliest when I can <3
Answers
Answer:
2) Difference of two squares
3) Perfect square trinomial
Step-by-step explanation:
Hope it helps you in your learning process.
Please help me plsssss
Answers
B-(0,-3)
C(1,-1)
I think this is how it goes :) hope it helps
A cylinder has a height of 11 meters and a volume of approximately 1243 cubic feet. What is the height of a cone with the same volume and radius as the cylinder?
Answers
Answer:
Step-by-step explanation:
Comment
There is a short cut to this and we might just as well use it. Start by writing the general formulas for the volume of a cylinder and the volume of the cone
Equation
V_cylinder = pi * r^2 * h
V_Cone = (1/3) pi * r^2 * h1
Solution
The volumes are equal, so the right sides must be equal as well
pi * r^2 * h = (1/3)*pi * r^2 * h1 Divide both sides by pi
r^2 * h = (1/3) * r^2 * h1 Divide both sides by r^2
h = (1/3) * h1 Multiply both sides by 3
3*h = h1 h = 11 (given)
3*11 = h1
33 = h1
Answer: the cone's height = 33 meters.