Question

Function g is a transformation of the parent function f(x) = x2. The graph of f is translated right 9 units and up 16 units, and then reflected across the x -axis to form the graph of g

Answer 1

The equation after the sequence of transformations is

g(x) = - (x - 9)².+ 16

Description of the transformation

The parent function is f(x) = x².

Translation right 9 units:

This transformation is represented by (x - 9)².

Translation up 16 units

This is represented by (x - 9)².+ 16

Reflection across the x-axis:

This is represented by -(x - 9)².+ 16

Combining these transformations, the function g(x) is given by:

g(x) = - (x - 9)².+ 16