Question

The graphs below have the same shape. Complete the equation of the bluegraph. Enter exponents using the caret (^); for example, enter x² as x^2. Donot include "G(x) =" in your answer.

Answer 1

Given: A graph of the function

`F(x)=x^2`

Required: To find the function G(x).

Explanation: The given function G(x) is translated vertically one unit up and horizontally two units to the right.

The horizontal shift in the function to the right is represented by subtracting from the function's parameter, and the upward vertical shift is done by adding to the function's value. Hence the function G(x) will be-

`G(x)=(x-2)^2+1`

Final Answer: The function G(x) is

`G(x)=(x-2)^2+1`