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stepladder [879]
3 years ago
10

Describe how the graph of y= x^2 can be transformed to the graph of the given equation.

Mathematics
2 answers:
Kipish [7]3 years ago
8 0

Answer:

<em>b) Shift the graph of y = x2 down 12 units.</em>

Step-by-step explanation:

<u>Graphs</u>

The graph of the function

y=x^2

can be found by giving the variable x some values and calculating the values of y as follows:

For x=-2, y=(-2)^2=4. Point (-2,4)

For x=-1, y=(-1)^2=1. Point (-1,1)

For x=0, y=(0)^2=0. Point (0,0)

For x=1, y=(1)^2=1. Point (1,1)

For x=2, y=(2)^2=4. Point (2,4)

The graph of

y=x^2-12

Can be similarly found:

For x=-2, y=(-2)^2-12=-8. Point (-2,-8)

For x=-1, y=(-1)^2-12=-11. Point (-1,-11)

For x=0, y=(0)^2-12=-12. Point (0,-12)

For x=1, y=(1)^2-12=-11. Point (1,-11)

For x=2, y=(2)^2-12=-8. Point (2,-8)

The graphs are shown in the attached image. It can be clearly seen that the second graph (in blue) is shifted down 12 units with respect to the red graph. Answer:

b) Shift the graph of y = x2 down 12 units.

7nadin3 [17]3 years ago
5 0

Answer:

b

Step-by-step explanation:

Given y = x² then y = x² + c is a vertical translation of y = x²

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here c = - 12 < 0

Thus y = x² - 12 is the graph of y = x² shifted 12 units down → b

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3 years ago
Two factors whose product is 84 are 12 and _[blank]_.
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Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

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Where a and b are the factors and c is the product.

2. You know one of the factor, then you can find the second one as following:

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ludmilkaskok [199]

2)

P(4,-4) -->(-4, 7)

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3)

C(3,-1) , left 4 up 1

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(x , y) -->(x - 4 , y +1)

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