Graphing Quadratic Functions

What is the vertex of this parabola?

• (−1, 3)

• (−3, 11)

• (−2, 5)

• (0, 5)

Answer explanation

*Hint: Find the coordinates of the lowest or highest point on the parabola.

Notes page 1

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• line of dashes

Answer explanation

Notes page 1

Does this graph have a maximum or minimum?

• Minimum

• Maximum

Answer explanation

Notes page 9

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

Answer explanation

*Hint: Imagine a vertical line through this vertex. Where does it cross the x axis?

The axis of symmetry line always passes through which point on a parabola?

• y-intercept

• any random point

• vertex

• the origin

Answer explanation

Notes page 1

What is the axis of symmetry for this graph?

• y=2

• x=2

• x=1 or 3

• y=1

Answer explanation

*Hint: Where does the axis of symmetry cross the x-axis?

Does the equation y = -2x² + 3 open up or down?

• up

• down

Answer explanation

*Hint: Identify your "a" value (the leading coefficient)

The graph opens up when a>0 and the graph opens down when a<0.

Notes page 7.

What is the y-intercept of this parabola?

• (−1, 3)

• (−3, 11)

• (−2, 5)

• (0, 5)

Answer explanation

Notes page 7

Which best describes the vertex of a parabola?

• Any point on the parabola.

• A point on the x-axis.

• The highest or lowest point of a parabola

• A point on the y-axis.

Answer explanation

Notes page 1

Which is the vertex of y = 8x² + 16x - 2 ?

• (-1, -10)

• (-1, -6)

• (8, 16)

• (16, -2)

Answer explanation

*Hint: use the axis of symmetry formula to find the x-coordinate of the vertex. Then substitute this value into the equation to find the y-coordinate.