Chapter 11.7, Problem 6AYU

To determine

To fill:The blanks with correct answers.

Answer to Problem 6AYU

The statement is “The graph of $y={\left(x-2\right)}^2$ is obtained by shifting the graph of $y=x^2$ to the (left/right) a distance of $2$ units”.

Explanation of Solution

Given: The graph of $y={\left(x-2\right)}^2$ is obtained by shifting the graph of _____ to the (left/right) a distance of ____ units.

Consider the function.

  $y={\left(x-2\right)}^2$

The parent function of the given function is,

  $y=x^2$

The given function is obtained by shifting the graph of $y=x^2$ to its right by $2$ units.

Therefore, the statement is The graph of $y={\left(x-2\right)}^2$ is obtained by shifting the graph of $y=x^2$ to the (left/right) a distance of $2$ units.