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Big Ideas Math Algebra 1, 2015

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Big Ideas Math Algebra 1, 2015 View details

2. Solving Quadratic Equations by Graphing

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Exercise 24 Page 494

Make sure the equation is written in standard form. Identify the related function and graph it.

$x = - 4$

Practice makes perfect

We are asked to solve the given quadratic equation by graphing. There are three steps to solving a quadratic equation by graphing.

Write the equation in standard form, $a x^{2} + b x + c = 0 .$
Graph the related function $y = a x^{2} + b x + c .$
Find the $x -$ intercepts, if any.

The solutions of

a x^{2} + b x + c = 0

are the

x -

intercepts of the graph of

y = a x^{2} + b x + c .

First, we have to write our equation in the standard form.

16 + x^{2} = - 8 x \Leftrightarrow x^{2} + 8 x + 16

Now that we have our equation written in the standard form, let's identify the function related to the equation.

Equation : Related Function : x^{2} + 8 x + 16 = 0 y = x^{2} + 8 x + 16

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Subchapter links

Communicate Your Answer p.489

Monitoring Progress p.490-493

Exercises p.494-496