Consider the graph of the equation y=(x–9)? – 7. Compared the graph of y=x”, how has the vertex been shifted (left/right and/or up/down) and by how many units?

Answers

Answer 1

Answer:

Shifted to the right by 9 units, and down by 7 units

Step-by-step explanation:

y=x is the origin.

(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction

(you can be able to review why this is from online resources or you can ask your teacher)

the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction

let's sum up:

for this situation,

- what is inside the parentheses is the x

- what is outside the parentheses is the y

- the x-values direction shifts opposite from the sign (+/-)

- the y-values direction shifts like the sign (+/-)

So,

the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.


Related Questions

e. Find the slope of the line that passes through the points (1, 3) and (9,7),

Answers

Answer:

0.5

Step-by-step explanation:

→ Find the difference in y

7 - 3 = 4

→ Find the difference in x

9 - 1 = 8

→ Divide the results

4 ÷ 8 = 0.5

Answer:

The slope is 1/2 (m=1/2)

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for the slope. y2 is 7, y1 is 3, x2 is 1, x1 is 9. [tex]\frac{7-3}{9-1}=\frac{4}{8} = \frac{1}{2}[/tex]

Write the inequality represented by the graph below.

Answers

Answer:

y > -x + 3

Step-by-step explanation:

find the slope and y-intercept so you can create a linear equation:

y = mx + b ;   m = slope and  b = y-intercept

slope (m) = (3-0) / (0-3)

m = 3/-3 or -1

we can see the y-intercept by looking at the graph, it is 3

y > -x + 3

What is a2-b2 equal to?​

Answers

aZ+b?=is equal to
Step-by-step explanation:
One Solution.
a? + b2= c2, is called the Pythagorean Theorem.
For example
42+32=62
16+9= c2
25=62
Second solution: Formula of algebra
a2+62
Cause,
(a+b)2= a?+ b2 + 2ab
So, a?+ b2= (a+b)2-2ab

I NEED HELPP WITH THIS

Answers

Answer:

Look at the screenshots

Step-by-step explanation:

I didn't pay attention today​

Answers

Answer:

because you was busy and nor interested in paying attention.

Find a degree 3 polynomial with real coefficients having zeros 4 and 4i and a lead coefficient of 1. Write P
in expanded form. Be sure to write the full equation, including P(x) = .

Answers

Answer:

P(x)= x^3 - 4x^2 + 16x - 64

Step-by-step explanation:

First, let’s find all of the zeroes. If the question is asking for a degree 3 polynomial, than there has to be more than 2 zeroes. The complex conjugates theorem states that if a+bi is a zero, than a-bi has to be a zero as well. So if 4i is a zero, than -4i has to be a zero as well. By looking at the zeroes, you can write them as a linear factorization.

(x-4)(x+4i)(x-4i)

If you foil all of it, you will get x^3 - 4x^2 + 16x - 64.

Line N passes through the points (-1, 4) and (-1, -4).
5
4
3-
2
1
-5 -4 -3 -2 -14
1
2 3 4 5
x
X
اسة.
5
3
ܛܝܝܝ
5
Which is true of line N?

Answers

Answer:

i don't know btw is this eighth grade

You went 160 miles in 20 hours. What is the constant of proportionality that relates the y, the distance in miles to x, the time in hours?

Answers

Answer:

X = Y times 8

Step-by-step explanation:

You need to figure out how many miles you can go in an hour.

160/x and 20/1

20x=160

x=8

You can go 8 miles in 1 hour.

Therefore, if X is 1 and Y is 1

1 = 8

1 hour equals 8 miles

Replace the power with a product and then transform the product into a polynomial. (1-y)^2

Answers

Answer:

 1-2y+y^2

Step-by-step explanation:

(1–y)^2

(1-y) * (1-y)

FOIL

first: 1*1 =1

outer: 1*-y = -y

inner: -y *1 = -y

last: -y*-y = y^2

Add together: 1+-y-y+y^2  

Final answer1-2y+y^2

Credit:

wegnerkolmp2741o

He solved it earlier.

Which of the following are involved in graphs of linear equations.

* Intercepts

* The graph is a curve

* The graph is the solution set.

* Slope

* The equation usually has a squared variable

Answers

Answer:

Step-by-step explanation:

* Intercepts  YES  The point where the line crosses the y axis (the value of y when x=0)

* The graph is a curve No.  It would not be a linear equation.

* The graph is the solution set. Yes.

* Slope  Yes

* The equation usually has a squared variable No

1
x 1.0 -
=
10
1
-
10 x 1.0

Answers

Step-by-step explanation:

the question doesn't make sense and you need to rephrase the question.

1+1=3 proof
needs step by step explanation

Answers

Answer:

1+1=3, See explenation

Step-by-step explanation:

1+1=2 but thats basically 2.1 because whole numbers are boring, but 2.1 is basically 2.2 because we want it as an even number, but 2.2 is basically 2.3 because 2.3 is the luckiest number, which is basically 2.5 if you think about it because 2.3 looks like 2/3 and two thirds can't be a whole (which is why we say 3/3 instead of 2/3) and 2.5 rounded up is 3. So thats how 1+1=3

The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it - IM JUST KIDDING I ACTUALLY NEED HELP THO​

Answers

45 degrees. A triangle should add up to 180 degrees. So 76+59+?=180. The ? Is 45 so that is your answer. Another way is to take 180 and subtract 59 and 76 which will leave you with 45.
Following the Triangle Sum Theorem, the three angles in a triangle must sum up to 180°.

Therefore, we can create an equation to find the measure of angle 1, given the two other angles.

76+59+x=180. x=the measure of angle 1 (unknown).

135+x=180. [76+59=135]

135-135+x=180-135 [Isolate x by subtracting 135 from both sides]

x=45.

Therefore, the angle measure of angle 1 = 45°

When we first learn arithmetic, we focus on working with whole numbers. Then, we extend our understanding to fractions and negative numbers.

In algebra, we transfer these same skills to expressions involving variables. What elementary skills have you used so far in this course, and how have you extended them?

PLESE ANSWER AS FAST AS YOU CAN, IT MEANS ALOT!

Answers

Answer:

I don't think I can remember every skill I was taught through the years but in Kindergarten we used Number Sense so we could understand the meaning of more and less also there's estimation and  PEMDAS. I've also learned how to round up so that the solution is at least around those numbers if the skill is to be applied.

hope that helps

Step-by-step explanation:

-0.5x=3.6

F. -72
G. -7.2
H. 7.2
I. 72

Answers

Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

Evaluate the expression when c=−4 and y=2
-y+4c

Answers

Answer:

-2 - 16 = -18

Step-by-step explanation:

-y+4c

You take the values for c and y and substitute them in the original equation.

It would then look like:

-(2) + 4(-4)

Solving that would be -2 -16 = -18

Answer:

-18

Step-by-step explanation:

-(2)+4(-4)    Plug in the values of y and c.

-2+(-16)       Simplify.

-2-16

-18

Hope this helps you out!! Have an amazing day <3

There are 40 slices of pizza at the party that are shared equally between 8 people. Peter ate 3 slices of pizza before he came to the party. How many slices of pizza did Peter eat in all?

Answers

Answer:

that depends if it's taken in consideration the pizzas that he ate were from the 40 slices or not

Answer:

he ate 5 slices

Step-by-step explanation:

40/8=5 you would thinks you are timeing the answer

Determine whether the following sequence is arithmetic,
geometric, or neither.
1. 4, 1, 2
2. 4, 20, 100
3.212 106,53

Answers

Answers:NeitherGeometricGeometric

=================================================

Explanation:

The sequence {4,1,2} is neither because both arithmetic sequences and geometric sequence are either always increasing or always decreasing. We start off decreasing when going from 4 to 1, but increase to 2.

----------

The sequence {4,20,100} is geometric because we multiply each term by 5 to get the next term. That means the common ratio is 5. Notice how this sequence is increasing.

---------

The sequence {212,106,53} is also geometric. This time the common ratio is 1/2 = 0.5; this sequence is decreasing.

Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): -5, -3,1.
Assume the leading coefficient is 1.

Answers

Answer:

f(x) = x^3 + 7x^2 + 7x -15

Step-by-step explanation:

f(x) = (x+5)(x+3)(x-1)

f(x) = (x^2 + 3x + 5x + 15)(x-1)

f(x) = (x^2 + 8x + 15)(x-1)

f(x) = x^3 + 8x^2 + 15x -x^2 -8x -15

simplify

f(x) = x^3 + 7x^2 + 7x -15

Answer:

[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].

Step-by-step explanation:

By the factor theorem, if a constant [tex]a[/tex] is zero of the polynomial [tex]f(x)[/tex], [tex](x - a)[/tex] would be a factor of this polynomial. (Notice how [tex]x = a[/tex] would indeed set the value of [tex](x - a)\![/tex] to [tex]0[/tex].)

For instance, since [tex](-5)[/tex] is a zero of the polynomial [tex]f(x)[/tex], [tex](x - (-5))[/tex] would be a factor of [tex]f(x)\![/tex]. Simplify this expression to get [tex](x + 5)[/tex].

Likewise, the zero [tex](-3)[/tex] would correspond to the factor [tex](x + 3)[/tex], while the zero [tex]1[/tex] would correspond to the factor [tex](x - 1)[/tex].

All three of these factors above are linear, and the degree of the variable [tex]x[/tex] in each factor is [tex]1[/tex]. Multiplying three such linear factors would give a polynomial of degree [tex]3[/tex].

Given the three factors, the expression of [tex]f(x)[/tex] in factored form would be:

[tex]f(x) = m\, (x + 5)\, (x + 3)\, (x - 1)[/tex] for some constant [tex]m[/tex].

When this expression is expanded, the constant [tex]m[/tex] would be the coefficient of the [tex]x^{3}[/tex] term (the leading term.) In other words, [tex]m\![/tex] is the leading coefficient of [tex]f(x)[/tex]. This question has required this coefficient to be [tex]1[/tex]. Thus, [tex]m = 1[/tex]. The expression of [tex]f(x)\![/tex] in factored form would be:

[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].

Solve for x
-7x - 8 = 10x +4

Answers

Answer: put 14

Step-by-step explanation:

PLEASE HELP!! find the value of x. attached image.

Answers

Answer:

x = 4

Step-by-step explanation:

    The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.

    In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.

[tex]9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4[/tex]

Answer:

x = 4

Step-by-step explanation:

9x - 8 = 28 ( converse of isosceles triangle )

(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)

[tex]9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]

Need help quickly please

Answers

Step-by-step explanation:

just want your ponit hahahaHA

I NEED ASAP ON THIS MATH PROBLEM

Answers

y=3x-5 is the equation
ANSWER: y = 3x - 5
Ok done. Thank to me :>

winter coat was originally priced at 140$ and went on sale for 91$ by what percentage was the price of the winter coat reduced?

Answers

Answer:

35%

Step-by-step explanation:

Find out what percent 91 is of 140

91÷140 = 0.65

Then find out how much was reduced by subracting 0.65 from 1

1 - 0.65 =0.35

The coat was reduced by 35%

The long sides of a rectangle measure 5 ft 6 in, and the short sides are 3 ft 4 in. What is the perimeter?

Answers

Answer:

17 ft 8 in

Step-by-step explanation:

Which equation could have been used to create this table? need answer fast


y = x + 6


y = x + 5


y = 6x

y = 7x

Answers

Answer:

y=6x

Step-by-step explanation:

Each value for y is can be divided by 6 for the value of x

Answer:

y=6x

Step-by-step explanation:

1000000x900=?????????????

Answers

Answer:

The answer is 900000000

Answer:

900000000, or 9.0x 10^8

Step-by-step explanation:

do 1(9)=9

then add the 0's behind.

what would be the resulting difference if the line transition: width 2s, height 2s; was removed from the first css rule?

Answers

Answer:

ages would no longer get larger as the mouse hovers over them. The transition would happen over 10s, since this is the default duration.

Step-by-step explanation:

When the greatest common divisor and least common multiple of two integers are multiplied, their product is 200. How many different values could be the greatest common divisor of the two integers

Answers

Answer:

k = 1 or 2 or 5 or 10

Step-by-step explanation:

Suppose GCD is k, 2 numbers are kA and kB

LCM is k*A*B,

GCD*LCM: k*(k*A*B) = 200

k² * A*B = 200

A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

k² (k is integer) could be 1, 4, 25, 100

k = 1 or 2 or 5 or 10

How do you factor x³-9?

Answers

Answer:

(x² + 3)(x-3)

Step-by-step explanation:

Since the exponent is uneven you can take 2 and 1 and add them to the x's multiply to get 3 and since 9 is a perfect square you can square root it and get 3 which you put on both sides. Since the 9 is negative one of the symbols have to be negative, usually put in the second parenthesis.

Hope this helps!

Remember SOAP. Same, opposite, always positive.
(X-3)(x^2+3x+9)
The formula is (a+b)(a^2+ab+b^2) but the pluses and minuses follow SOAP
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