Key Features of Quadratic Functions

The highest or lowest point on the graph

Where the parabola touches or intersects the x-axis

Where the parabola touches or intersects the y-axis

A line that divides the graph into two equal parts. i.e. cuts the graph in half

Where the parabola touches or intersects the x-axis, also called the x-intercept

The lowest y-value on the graph

The highest y-value on the graph

Where the parabola touches or intersects the y-axis

Where the parabola touches or intersects the x- axis, also called the x-intercept

A line that divides the graph into two equal parts. i.e. cuts the graph in half

The highest or lowest point on the graph

Where the parabola touches or intersects the y-axis

The highest or lowest point on the graph

The highest y-value on the graph

The lowest y-value on the graph

A line that divides the graph into two equal parts. i.e. cuts the graph in half

The highest y-value on the graph

Where the parabola touches or intersects the y-axis

Where the parabola touches or intersects the x-axis, also called the x-intercept

The lowest y-value on the graph

Where the parabola touches or intersects the x-axis

The highest or lowest point on the graph

Where parabola line touches or intersects the x- axis, also called the x-intercept

A line that divides the graph into two equal parts. i.e. cuts the graph in half

A line that divides the graph into two equal parts. i.e. cuts the graph in half

Where the parabola touches or intersects the x-axis, also called the x-intercept

The highest y-value on the graph

The highest or lowest point on the graph

Where the parabola touches or intersects the y-axis

The lowest y-value on the graph

Where the parabola touches or intersects the x-axis, also called the x-intercept

A line that divides the graph into two equal parts. i.e. cuts the graph in half

The highest y-value on the graph

Where the parabola touches or intersects the y-axis

The highest or lowest point on the graph

Where the parabola touches or intersects the x-axis, also called the x-intercept

Where the parabola touches or interests the x-axis

Where the parabola touches or interests the y-axis

(-3, 0)

(3, 0)

(0, 18)

(18, 0)

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

It is the vertex

It is an x-intercept

It is the y-intercept

It is the axis of symmetry

$$y=-\left(x-1\right)^2+4$$

$$y=\left(x-1\right)^2+4$$

$$y=-\left(x-4\right)^2+1$$

$$y=\left(x-4\right)^2+1$$

(5, 2)

(5, -2)

(-5, 2)

(-5, -2)

maximum

minumum

roots

zeros

Slope Intercept Form

Point-Slope Form

Standard Form

Slope Intercept Form

Point-Slope Form

Standard Form

Slope Intercept Form

Point-Slope Form

Standard Form

23rd

45th

4th