CCGPS AG 5.3.1 Example 5

Author:: GeoGebra Materials Team, Walch Education

Topic:: Equations, Function Graph, Parabola, Quadratic Functions

Create the equation of a quadratic function given a vertex of

and a

-intercept of

.

GeoGebra Applet

Write an equation for in terms of .
Substitute the expression for from step 1, the coordinates of the vertex, and the -intercept into the standard form of a quadratic equation.
Substitute the value of into the equation for from step 1.
Substitute , , and into the standard form of a quadratic equation.