College Algebra & Trigonometry, 2018a

220 CHAPTER 4. FUNCTIONS
Exercises 4.5
Sketch the graph for each of the following transformations.
1) f(x) =x 2 +3 2) f(x) =x 2 − 4
3) f(x) =(x − 5) 2 +3 4) f(x) =(x +1) 2 − 4
5) f(x) =|x|−2 6) f(x) =|x| +5
7) f(x) =|x +3|−2 8) f(x) =|x − 1| +5
Match each of the following equations to the appropriate graph.
9) f(x) = √ x +4− 1 10) h(x) =x 2 + x − 6
11) g(x) =|x +2|−3 12) f(x) =4x − x 2
13) h(x) =−|x − 2| +1 14) g(x) =− 3 5 x +2
15) h(x) = 3√ x +4 16) f(x) =x 3 − 3x 2 +3x +2
17) g(x) =− 3√ x +2 18) h(x) =− √ x +1− 3
19) f(x) = 5 x − 2 20) f(x) =4x − x3
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