Exercise 6 Page 491

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

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.

x^{2} + 10 x = - 25 \Leftrightarrow x^{2} + 10 x + 25 = 0

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} + 10 x + 25 = 0 y = x^{2} + 10 x + 25