Question

Label the points O(0, 0), A(-2, 4), and B(1, 1) on the graph
of f (x) x 2. Determine the images of these points on the transformed function. Label the images O',A' and B'

f(x)=-(x-2)^2

Answer 1

Label the points O(0, 0), A(-2, 4), and B(1, 1) on the graph

of f (x) =x²

transformation function

f(x) = -(x-2)²

f(0) = -(0-2)² = -4

O' (0,-4)

f(-2) = -(-2-2)² = -16

A' (-2,-16)

f(1) = -(1-2)² = -1

B' (1,-1)