CPM Homework Help : A2C Problem 11-20

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11-20.

Complete the square to convert each of the following quadratic functions to graphing form. State the vertex and sketch the graph.

$f\left(x\right) = x^{2} + 6x + 7a$
Hint (a):
$f\left(x\right) = \left(x^{2} + 6x + 9\right) − 9 + 7$
Answer (a):
$f\left(x\right) = \left(x + 3\right)^{2} − 2$
vertex: $\left(−3, −2\right)$

$f\left(x\right) = x^{2} − 10x$
Hint (b):
See part (a).

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