9.7 Graph Quadratic Functions Using Transformations

Shifting, stretching, and reflecting the basic y = x^2 curve, plus rewriting a quadratic in vertex form and reading a formula off a given graph.

Intermediate Algebra 2e, 9.7 Graph Quadratic Functions Using Transformations

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7 exercises

9.7 Exercise 2

Factor completely: $y^{2} - 14 y + 49 .$
If you missed this problem, review the reference.

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9.7 Exercise 3

Factor completely: $2 x^{2} - 16 x + 32 .$
If you missed this problem, review the reference.

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9.7 Exercise 23

Rewrite $f \left(x\right) = −4 x^{2} - 8 x + 1$ in the $f \left(x\right) = a \left(x - h\right)^{2} + k$ form by completing the square.

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9.7 Exercise 24

Rewrite $f \left(x\right) = 2 x^{2} - 8 x + 3$ in the $f \left(x\right) = a \left(x - h\right)^{2} + k$ form by completing the square.

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9.7 Exercise 69

Rewrite each function in the $f \left(x\right) = a \left(x - h\right)^{2} + k$ form by completing the square.

$f \left(x\right) = −3 x^{2} - 12 x - 5$

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9.7 Exercise 71

Rewrite each function in the $f \left(x\right) = a \left(x - h\right)^{2} + k$ form by completing the square.

$f \left(x\right) = 3 x^{2} + 6 x - 1$

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9.7 Exercise 105

Graph the quadratic function $f \left(x\right) = x^{2} + 4 x + 5$ first using the properties as we did in the last section and then graph it using transformations. Which method do you prefer? Why?

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