Question

The graphs below have the same shape.What is the equation of the red graph ?

Answer 1

B. F(x) = 1 - x^2

Explanation:

The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.

F(x) = G(x) - 3

F(x) = 4 - x^2 - 3

F(x) = 1 - x^2

Answer 2

B. f(x) = 1 - x²

Explanation:

Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².