Question

-2. H(x) is the transformation of the parent

function f(x) = x2 after being

translated 7 units right, and 8 units

up. What is the equation for h(x)?

A) h(x) = -(x - 7)2 - 8

(B)\h(x) = (x + 7)2 + 8

C) h(x) = (x + 7)2 - 8

D) h(x) = (x - 7)2 + 8

Answer 1

If the function f(x) is translated 7 units right and 8 units up, then the equation of h(x) is h(x) = $(x+7)^2$ + 8

The given function is

f(x) = $x^2$

Here f(x) is translated 7 units right and 8 units up

The translation is the process of changing the coordinates of the shape in the graph

The given function is

f(x) = $x^2$

First the function is translated 7 units right

Then the function will become

f(x) = $(x+7)^2$

Then the function is translated 8 units up

Then the function will become

h(x) = $(x+7)^2$ + 8

Hence, if the function f(x) is translated 7 units right and 8 units up, then the equation of h(x) is h(x) = $(x+7)^2$ + 8

Learn more about translation here

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