Question

The graphs of f(x) and g(x) are shown below:

graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 7, negative 2.

If f(x) = (x + 7)2, which of the following is g(x) based on the translation?

g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x + 7)2 + 2
g(x) = (x + 7)2 − 2

I think it's D am i correct?

Answer 1

the last one

Explanation:

Answer 2

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

As per the statement, the y - component of the vertex is shifted two units down.

That means that the whole function is translated downwards and g(x) = f(x) - 2.

Which is the same that g(x) = (x+7)^2 - 2.

Indeed that is the option D. Your are right!