Chapter ISG, Problem 9.2.9P

To determine

To explain steps of transformation.

Answer to Problem 9.2.9P

  

Explanation of Solution

Given information:

  $f(x)=x^2$

  $g(x)=-10{(x-17)}^2$

Calculation:

Parent function

  $f(x)=x^2$

Transformed function

  $g(x)=-10{(x-17)}^2$

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x -axis or y -axis, and if there is a vertical stretch.

Horizontal Shift: Right 17 Units

Vertical Shift: None

Reflection about the x -axis: Reflected

Reflection about the y -axis: None

Vertical Compression or Stretch: Stretched

  

Vertical stretch f(x) by a units

  $g(x)\to af(x)$