PLEASE HELP!!!
What is the formula of g in terms of f?
Choose 1 answer:
A. - 1/3 f(x)
B. f(-3x)
C. -3f(x)
D. f (- 1/3x)
Answers
Answer:
A
Step-by-step explanation:
y = a f(x)
If |a| > 1 then a f(x) is f(x) stretched vertically by scale factor of a
If 0 < |a| < 1 then f(x) is squashed vertically
If a < 0 then f(x) is also reflected in the x-axis
y = f(ax)
If |a| > 1 then f(ax) is f(x) squashed horizontally by a scale factor of a
If 0 < |a| < 1 then f(x) is stretched horizontally
If a < 0 then f(x) is also reflected in the y-axis
g(x) has been squashed vertically by a scale factor of 1/3 (green on the attached diagram) and then reflected in the x-axis (red on the attached diagram)
Therefore, the solution is [tex]g(x) = -\dfrac13f(x)[/tex]
Related Questions
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 4). What is the vertex of the function defined as g(x)=f(x-2)-2
Answers
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{vertex}{\stackrel{h}{-6}~~,~~\stackrel{k}{4}}\qquad \implies f(x)=a[x-(-6)]^2+4\implies \underline{f(x)=a(x+6)^2+4} \\\\[-0.35em] ~\dotfill[/tex]
[tex]f(x-2)=a[(x-2)+6]^2+4\implies \underline{f(x-2)=a(x+4)^2+4} \\\\\\ f(x-2)-2\implies [a(x+4)^2+4]-2\implies \underline{a(x+4)^2+2=g(x)} \\\\\\ a[x-(\stackrel{h}{-4})]^2\stackrel{k}{+2}=g(x)\qquad \stackrel{vertex}{-4~~,~~2}[/tex]
For each fraction, decimal, or percent, write the equivalent number from the list below. 0.68, 19/50, 9/20, 80%, 0.54. A. 38% _____ B. 4/5 ______ C. 17/25_______. D. 27/50_______. E. 0.45_______
Answers
Answer:
A. 38% - 19/50
B. 4/5 - 80%
C. 17/25 - 0.68
D. 27/50 - 0.54
E. 0.45 - 45% or 9/20
Step-by-step explanation:
A. 19/50 - 38/100 - 38%
B. 4/5 - (times by 20 (the numerators and denominators)) - 80/100 - 80%
C. 17/25 - (times by 4 (the numerators and denominators)) - 0.68
D. 27/50 - 54/100 - 0.54
E. 0.45 - 45/100 - 9/20 - 45%
Sara made a withdrawal of $80. Tom deposited $47.50.
Which transaction involved more money?
Answers
Answer: Sara's transaction involved more money.
Step-by-step explanation: 47 is less than 80 and since its in dollars, Sara's $80 would be the answer.
The y-intercept of g(x)=3/5f(5x) is 15.
Which of the following is the y-intercept of f(x) ?
A/ 3
B/9
C/25
D/75
Answers
Answer:
C) 25
Step-by-step explanation:
A function is scaled vertically by multiplying every function value by the scale factor. For some scale factor k, the function g(x) = k·f(x) is a vertically scaled version of the function f(x).
Here, we are given ...
g(x) = 3/5·f(x)
This means the y-intercept is also scaled:
g(0) = 3/5·f(0)
f(0) = 5/3·g(0) . . . . . multiply by 5/3
f(0) = 5/3·15 = 25
The y-intercept of f(x) is 25.
In addition to writing new facts for February 29, the twins also need to add another image in the middle of their flip-book animation. The animation sequence is of Dorothy's house from the Wizard of Oz as it is being carried over the rainbow by a tornado. The house in the February 28 drawing has been rotated to create the house in the March 1 drawing. Carlos believes that he can get from the February 28 drawing to the March 1 drawing by reflecting the February 28 drawing, and then reflecting it again.
A. What convinces you that the February 29 image is a reflection of the February 28 image about the given line of reflection?
B. What convinces you that the March 1 image is a reflection of the February 29 image about the given line of reflection?
C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?
Answers
Answer:
Its C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?
Step-by-step explanation:
In addition to writing new facts for February 29, you gotta do what you learned and add the houses
Can u pls help me with this question
Answers
Answer:
[tex]-k^2+7k[/tex]
Step-by-step explanation:
Using the given equations, we must find [tex]C-B[/tex]
Start by substituting the given values into the expression:
[tex]C-B\\k-3-(k^2-6k-3)[/tex]
Now, take the terms out of the parentheses.
[tex]k-3-(k^2)-(-6k)-(-3)\\k-3-k^2+6k+3[/tex]
Please note that two negatives make a positive
[tex]k-3-k^2+6k+3[/tex]
Combine like terms:
[tex]-k^2+7k[/tex]
can someone help me with these
Answers
Answer:
a=(x+7)(x+-2)
Step-by-step explanation:
(x+a)(x+b)=x²+(a+b)x+(ab)
Answer:
a) (x +7)(x -2)
b) x = -7 or +2
Step-by-step explanation:
a)A trinomial is factored by realizing that the constant term (-14) is the product of the binomial constants, and the coefficient of the linear term (5) is their sum. Here, we can examine the factorization of -14 to see which factors may have a sum of 5:
-14 = (-1)(14) = (-2)(7) = (-7)(2) = (-14)(1)
Sums of these factor pairs are 13, 5, -5, -13. Clearly, we could stop writing factorizations when the sum stops being positive. The values of interest are -7 and 2. They tell us the trinomial is factored as ...
x² +5x -14 = (x +7)(x -2)
__
b)The zeros of the quadratic are the values of x that make the above factors be zero. The zero product rule tells you the only way the product will be zero is for a factor to be zero.
x +7 = 0 ⇒ x = -7
x -2 = 0 ⇒ x = 2
The solutions are x = -7 or x = 2.
A cylinder has a radius of 17 millimeters. Its volume is 13,611.9 cubic millimeters. What is
the height of the cylinder?
Use 3.14 and round your answer to the nearest hundredth
millimeters
Answers
Answer:H=15.00mm
Step-by-step explanation:
The graph below describes the journey of a train between two cities.
a) Work out the
acceleration, in km/h?,
in the first 15 mins.
b) Work out the distance
between the two cities. $60
Velocity (in km/h)
c) Work out the average
speed of the train during 20
the journey.
Answers
Answer:
[A] Acceleration in first 15 min = 200 km/h²
[B] Distance between two cities = 125 km
[C] Average Speed of journey = 62.5 km/hr
Step-by-step explanation:
To Solve:
Acceleration in first 15 min
Distance between two cities
Average speed of journey
Solve:
[A] Work out the acceleration, in km/h?, in the first 15 mins.
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Hence, Answer for [A] = 200 km/h²
[B] Work out the distance between the two cities. $60 Velocity (in km/h)
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
[C] Work out the average speed of the train during 20 the journey.
Average Speed of journey = 125/2 = 62.5 km/hr
[RevyBreeze]
PLEASE HELP
I NEED THIS NOW
Answers
Answer:
the 3rd one and the last one
Step-by-step explanation:
functions can't have the same y coordinate.
What is the direction of b?
A. north B. south C. east D. west
Answers
Answer:
A. North
Step-by-step explanation:
Slope- intercept form: y= -4/3x + 2
what is the standard form?
Answers
Answer:
4x+3y=6
Step-by-step explanation:
hope this helps
Question is in the picture:
Answers
Answer:
the answer is 224 that's my answer
Answer:
48
Step-by-step explanation:
es el porcentaje de 200 en la calculadora seria 24 x 200/100
Dilate the figure with the origin as the center of dilation.
(x,y) → (1.5x, 1.5y)
Answers
Step-by-step explanation:
try this option; for more info see the attachment. New figure is painted with red colour (triangle A'B'C').
If I drove 15 1/2 miles in 2/5 hours, what is my average speed in miles per hour?
Answers
Answer:
(15 1/2 ) divided by 2/5= 38 3/4 miles per hour
The ratio of plain bagels to garlic bagels is 2:3. The ratio of poppy seed bagels to plain bagels is 5:2. What is the ratio of garlic bagels to poppy seed bagels?
Answers
The cubic polynomial f(x) is such that the coefficient of x^3 is 2 and the roots of the equation f(x)=0 are -1, 3 and c. It is given that f(x) has a remainder of 8 when divided by x - 1. Find the value of c.
Answers
Answer:
1 add on both sides
subtract
2
4
4
whats 506 divided by 6
Answers
Answer:
84.33333333
or rounded...
84.3
or 84 if asked to be rounded to whole
Claudia can text 3 times as fast as Fiona. Claudia can text 78 words per minute. How many words per minute can Fiona text?
Answers
Answer:
Fiona can type 26 words per minute.
Step-by-step explanation:
Just divide 78÷3 (78 words divided by the x3), which gives you 26.
Hope it helps!
pls help I just want to enjoy spring break plsssss
Answers
Answer:
homedogxD: 74 + x + 62 + 55 = 180. So x = -11
Step-by-step explanation:
This is from homedogxD but no one put it as an answer so..................
Write a vocabulary term for this analogy.
A double bar graph is related to a bar graph in the same way as a(n) ___?___ is related to a box plot
Answers
help.. Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are there?
Answers
Answer: 564 patrons. also omg chiaki pfp so based
If I have 18 employees and I want to give each employee half a cupcake how many cupcakes do I need
Answers
b. Find the co-ordinates of the mid-point of the line joining the points A(4,-6) and B(-2,4)
Answers
Answer:
(2, 4)
Step-by-step explanation:
correct me if im wrong if i am im sorry
What is the domain and limit(s) of f(x)=1/x+3?
Answers
What is the equation of the line that passes through the point (4,6) and has a
slope of 0
Answers
Solution:
We know that:
(x,y) = (4,6) ⇒ x = 4, y = 6Slope = 0Since we know the coordinates and the slope of the line, we can use point slope form to find the equation.
y - y₁ = m(x - x₁)⇒ y - 6 = 0(x - 4)⇒ y - 6 = 0⇒ y = 0 + 6⇒ y = 6Thus, the equation of the line is y = 6.
Answer/Step-by-step explanation:
Given us that;
Passes through the point (4,6)
slope of 0
Note;
The equation of a line has the form:
y - y₁ = m(x - x₁)
Solve;
Now we plug in the coordinates of the given point the line goes through, and solve:
y - 6 = 0(x - 4)
y - 6 = 0
y = 0 + 6
y = 6
Hence, equation of the line is y = 6
[RevyBreeze]
Evaluate the expression for f=-10 9f+39
Answers
Answer:
The answer is 129.
Step-by-step explanation:
If f = 10, we would have to multiply 9 x 10, which is 90.
Add that to 39, and you will get 129.
Hope you can understand this
Answer:
-51
Step-by-step explanation:
7.5 miles in 1/4 hour
Answers
Answer: name? must ride 7.5 miles in 1/4 hour to achieve this target speed so gender? needs to ride an addititonal 9.8 mile per1/4 hour
Step-by-step explanation: yeah you welcome
please helppp
Prove that:
Answers
i think the answer is 12
Step-by-step explanation:
Katrina works as an agent for "Let's Go Air". She averages fifteen passengers every twenty minutes. Stefon also works for the airline and averages fifteen passengers every twenty-five minutes. If Kathrina and Stefon work together, about how many minutes will it take to process fifteen passengers?
Answers
The equation computed shows that the number of minutes that it will take to process fifteen passengers is 11.11 minutes.
How to solve the equationSince Katrina averages fifteen passengers every twenty minutes and Stefon also works for the airline and averages fifteen passengers every twenty-five minutes, this can be represented this:
1/x = 1/20 + 1/25
1/x = 9/100
9x = 100
Divide through by 9
x = 100/9
x = 11.11 minutes
Learn more about equations on:
https://brainly.com/question/1214333