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GarryVolchara [31]
2 years ago
9

1.the graph of y = x² is moved five units upward

Mathematics
1 answer:
KonstantinChe [14]2 years ago
8 0

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

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azamat
3(x+5)=39

3 * x + 3 * 5 = 39

3x + 15 = 39

3x = 39 - 15

3x= 24
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4 0
3 years ago
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If f(x) = 7x- 6, which of the following is the inverse of kx)?​
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Step-by-step explanation:

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<u>Inverse</u>

y = 7x - 6

x = 7y - 6

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y =  \frac{x + 6}{7}

{f}^{ - 1} (x) =  \frac{x + 6}{7}

3 0
3 years ago
What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?
monitta

length : \sf \sqrt{89}

Explanation:

use the distance formula : \sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

  • using the formula:

\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}

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\sf \rightarrow \sf \sf \sqrt{64+25}

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8 0
2 years ago
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Question 8
Ratling [72]
I believe the answer is A
6 0
3 years ago
identify the image of triangle XYZ for a composition of 50 degrees rotation and a 40 degrees rotation, both about point y
Rudik [331]

Answer:

a

Step-by-step explanation:

Given:

triangle XYZ  is rotated by a composition of 50°+40°=90° both about point y

Now when a geometrical figure is rotated by any degree then its shape or size does not change and remain same.

As the triangle is rotated clockwise by 90  degrees about point y then diagram attached is formed .

option a is correct.

3 0
3 years ago
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