Quadratic Function Basics

Quadratic Functions

Mid Unit Review

Solve the following functions using any method (listed below)

• Factoring

• Completing the Square

• Square root

• Quadratic formula

Multiple Choice

What would be an example of a quadratic equation?

• x+5

• x³+2x²+5x-2

• x²+3x-10

Fill in the Blank

$$find\ the\ x-intercepts,\ f\left(x\right)=x^2-8x+16$$  

Multiple Choice

$$Solve\ for\ x,\ f\left(x\right)=x^2+7x\ -\ 44$$  

• x = 4, x = -11
  

• x = -4, x = 7

• x = 11, x = -4

• x = 11, x = -7

Graphs of Quadratic Functions

• Is called a parabola

• If the coefficient of x² is positive, the parabola open upward

• If the coefficient of x² is negative the parabola opens downward

Multiple Choice

$$A\ parabola\ is\ upside-down\ when\ x^2\ is:$$  

• negative

• positive

• 0

• infinite

Multiple Choice

In the function f(x)=2(x+5)²-8, the parabola opens

• upward

• downward