Example 3

Use the intercepts and a point on the graph below to write the equation of the function in standard form.

[list=1] [*]Find the [math]x[/math]-intercepts of the graph and write them as zeros of the equation. [*]Write the zeros as expressions equal to [math]0[/math] to determine the factors of the quadratic. [*]Use the point [math](4, –3)[/math] to find [math]a[/math], the coefficient of the [math]x^2[/math] term. [*]Write the equation in standard form. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.