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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 24 Page 159

If an addition or subtraction is applied to the whole function, the graph will be vertically translated.

Shifted down 3 units.

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)=x^2-3 If an addition or subtraction is applied to the function, the graph will be vertically translated. In the case of addition, it will be translated up. In the case of subtraction, it will be moved downwards. In the given equation, 3 is subtracted to the whole function, so the graph of the parent function will be translated three units down.

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