Parabolas & vertex form

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

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

What is the vertex of the graph?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

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

Name the x-intercept(s)?

• (0, 0)
• (2, 4)
• (0, 0) and (0, 4)
• (0, 0) and (4, 0)

Which point is the vertex?

• (-8, 0)

• (-5, -9)

• (-2, 0)

• (-9, -5)

What is the significance of the ordered pair (0, -2) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Which statement about the graph is FALSE?

• The vertex is (-3, 18)

• The vertex is a maximum

• The y-intercept is y = 0

• The axis of symmetry is y = -3

What is the significance of the ordered pair (1, -2) to the graph?

• It is the maximum point

• It is the vertex

• It is the y-intercept

• It is an x-intercept

What is the domain of the function?

• x ≥ 3

• x ≤ 3

• All real numbers

• -1 ≤ x ≤ 5