Topic 8.1 - Key Features of Quadratic Functions

$$f\left(x\right)=ax^2+bx+c$$  

$$f\left(x\right)=mx+b$$  

$$f\left(x\right)=a\left(b\right)^x$$  

$$f\left(x\right)=\left|x\right|$$  

The shape of a quadratic function

The highest or lowest point

The line of reflection of a quadratic function

$$Ax^2+Bx+C$$

$$x=\frac{-b}{2a}$$

A

B

C

y > -3

y < -3

All Real Numbers

x > -3

x < -3

It has a minimum

It has a maximum

It opens UPWARDS

It opens DOWNWARDS

The axis of symmetry is on a negative number

y = 0

x = 0

x = 3

x = -3

The vertex is a maximum

There are two zeros at x = -3 and x = 3

The y-intercept is (0, 18)

The range is y ≥ 18

It is the vertex

It is an x-intercept

It is the y-intercept

It is the axis of symmetry