Graphing Quadratics Key Features

Define Axis Of Symmetry

• 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

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

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 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

Graph

y=(x - 3)² - 4

and RECORD x-intercepts, y intercepts and axis of symmetry, etc.

Graph the given equation.

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical

Which graph best represents y = -x² + 6x - 1 ?

• 
• 
• 
• 

Graph: y = -(x + 2)² + 9

and record the x intercepts, y intercept, axis of symmetry etc for next questions.

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

• 
• 
• 
•