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McGraw Hill Glencoe Algebra 2, 2012

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McGraw Hill Glencoe Algebra 2, 2012 View details

7. Parent Functions and Transformations

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Exercise 4 Page 113

Start by graphing the parent function, y=|x|.

Description of the translation: It is a horizontal translation of y=|x| one unit to the left.
Graph:

Practice makes perfect

We want to draw the graph of the given function, which has the form y=|x-k|, where k is either a positive or a negative number. y=|x+1| ⇒ y=|x-(-1)|

To do so, we will first draw the graph of its parent absolute value function, y=|x|. Recall that the graph of y=|x| is V-shaped with vertex (0,0), whose axis of symmetry is the vertical line x=0.

Our function is a horizontal translation of the parent function 1 unit in the negative direction. Thus, we will translate the above graph 1 unit to the left.

Subchapter links

Check Your Understanding p.113

Practice and Problem Solving p.113-115

H.O.T. Problems p.115

Standardized Test Practice p.116

Spiral Review p.116

Skills Review p.116