Question

The graph of the function g(x) is a transformation of the parent function f(x) = x^2.

Which equation describes the function g?

G(x) = x^2 + 2

G(x) = (x - 2)^2

G(x) = (x + 2)^2

G(x) = x^2 - 2

Answer 1

Option A

Explanation:

Parent function is given as

`f(x) = x^2`

Another graph g(x) has vertex at (0,2)

When x=1, g(1) = 3 and for x =2, g(2) = 6

In other words, g(x) is got by vertical shift of 2 units up the parent graph f(x).

i.e. equation of g(x) would be

[tex]g(x) = (x^2+2)/tex]

Option A would be the right answer