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Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

left 4, down 9
left 4, up 23
right 4, down 9
right 4, up 23

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lolacromwell7

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

left 4, down 9

left 4, up 23

right 4, down 9<<<<<<< CORRECT

right 4, up 23

facundo3141592

The translation should be right 4 units and down 9 units.

Which translation should we use?

First, we need to find the vertices of both functions.

for f(x) = x^2 the vertex is at (0, 0), as we already know.

For g(x) = -8x + x^2 + 7 the x-value of the vertex is at:

x = -(-8)/(2*1) = 4

Evaluating g(x) at x = 4 we get:

g(4) = -8*4 + 4*4 + 7 = -9

So the vertex is at (4, -9).

To go from (0, 0) to (4, -9) we need to move right 4 units and down 9 units, so the correct option is the third one.

If you want to learn more about translations, you can read:

https://brainly.com/question/24850937

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