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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 27 Page 159

When the parent function f(x)=x^2 is multiplied by a constant a, the resulting f(x)=ax^2 is either stretched or compressed vertically.

Vertical compression by a factor of 13.

Practice makes perfect

We want to describe how to transform the parent function f(x)=x^2 to the graph of the given quadratic function. f(x)=1/3x^2When x^2 is multiplied by a number whose absolute value is greater than one, we have a vertical stretch. If x^2 is multiplied by a number whose absolute value is less than one, a vertical compression will take place.

If x^2 is being multiplied by a negative number, the above still applies but everything will be upside down. In the given exercise, x^2 is multiplied by 13, which is less than one. Therefore, the graph will be vertically compressed by a factor of 13.

Subchapter links

1 Graphing Quadratic Functions p.158

2 Solving Quadratic Equations by Graphing p.158

3 Transformations of Quadratic Functions p.159

4 Solving Quadratic Equations by Completing the Square p.159

5 Solving Quadratic Equations by Using the Quadratic Formula p.160

6 Analyzing Functions with Successive Differences p.160

7 Special Functions p.160