Key Features of Graphs of Quadratic Functions

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical

Define X-intercept

• 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

Define Y-intercept

• 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

Define Vertex

• 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

Label the following on the graph.

a

b

c

vertex

x-intercept

maximum

axis of symmetry

y-intercept

Graph the following:

y = 2(x - 5)² - 8

and record the x axes, vertex, axis of symmetry, etc

Graph the given equation.

Which graph best represents h(x) = (x + 1)(x – 3)?

• 
• 
• 
• 

a

b

c

d

Axis of symmetry

Vertex

Left x-intercept

Solution

Graph y=-3(x + 2)² + 3

and record all the necessary parts.