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The following three quadratic functions have all been factored, and their graphs are shown below. 1 f(x) = - 5 (x + 7)(x – 9) 32 g(x) = 2(x + 4)(x + 8) h(x) = – 9(x –- 1)(x + 1) 10+ 10 -5 What connections do you see between the factored form of the functions and their graphs? Why is it useful to be able to factor a quadratic?

The following three quadratic functions have all been factored, and their graphs are shown below. 1 f(x) = - 5 (x + 7)(x – 9) 32 g(x) = 2(x + 4)(x + 8) h(x) = – 9(x –- 1)(x + 1) 10+ 10 -5 What connections do you see between the factored form of the functions and their graphs? Why is it useful to be able to factor a quadratic?

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 61PS
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The following three quadratic functions have all been factored, and their graphs are shown below. 1 f(x) = : (x + 7)(x – 9) 32 g(x) = 2(x + 4)(x + 8) h(x) = – 9(x – 1)(x + 1) | 10+ 10 -5 -5- What connections do you see between the factored form of the functions and their graphs? Why is it useful to be able to factor a quadratic?
Transcribed Image Text:The following three quadratic functions have all been factored, and their graphs are shown below. 1 f(x) = : (x + 7)(x – 9) 32 g(x) = 2(x + 4)(x + 8) h(x) = – 9(x – 1)(x + 1) | 10+ 10 -5 -5- What connections do you see between the factored form of the functions and their graphs? Why is it useful to be able to factor a quadratic?
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