Question

The graphs below have the same shape. Complete the equation of the red graph. Enter exponents using the caret (^); for example, enter x2 as x^2. Do not include "F(x) =" in your answer.

Answer 1

1 - x^2

Explanation:

F(x) is 3 units down. So,

G(x) - 2 = 4 - x² - 3

F(x) = 1 - x²

Answer 2

f(x) = 1-x^2

Explanation:

The graph of f(x) is just shifted down 3 units

A shift down is a subtraction

f(x) = g(x) -3

= 4- x^2 -3

=1-x^2