Question

f(x) = x^2. What is g(x)?

Answer 1

Answer:

Step-by-step explanation:

The standard form of the quadratic we need is

$y=a(x-h)^2+k$ where we have everything we need but a. That's what we will solve for.

x and y come from the coordinate given on the red graph:

x = 2 and y = 1

h and k come from the coordinates of the vertex:

(0, 0). Fill all that in and solve for a:

$1=a(2-0)^2+0$ and

1 = 4a so

a = 1/4 That makes our equation

$y=\frac{1}{4}(x-0)^2+0$ or simplified:

$y=\frac{1}{4}x^2$, choice B.