Equations of Parabolas and Key Features

The vertex is sometimes halfway between the focus and directrix.

• true
• false

A parabola is the set of all points equidistant from the focus and the directrix.

• true
• false

Find the vertex, focus, and directrix of the parabola: x² = 28y

• Vertex: (0, 0) Focus: (0,7) Directrix: y=-7
• Vertex: (0, 0) Focus: (7,0) Directrix: y=7
• Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7
• Vertex: (0, 0) Focus: (7, 0) Directrix: x=7

The focus is always inside the parabola.

• true
• false

What is the directrix of the parabolic conic section y=x²?

• y =1/4
• x=1
• y=-1/4
• y=1

The sign of the 'p' value determines if the graph opens upward or downward.

• True
• False

Tags

CCSS.HSF-IF.C.7A

What is the vertex of this quadratic equation?

y = 2(x + 2)² + 5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

What do we call the graph of a quadratic function?

• parabola
• linear
• cubic
• sinusoidal

Tags

CCSS.HSF-IF.C.7A

What is the maximum/minimum of a parabola called?

• vertex
• point
• top
• bottom

The axis of symmetry is a line that goes through the...

• y-intercept
• any random point
• vertex
•  x-axis or y-axis