Parabola Introduction

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical

Does this parabola have a maximum or minimum?

• Maximum

• Minimum

What is the equation of the axis of symmetry for this parabola?

• 1

• 2

Identify the correct graph.

• A

• B

• C

• D

Since the parabola opens right, then the a-value had to be...

• positive

• negative

How WIDE will this parabola be?

• 12

• 3

• (2,3)

• 24

Identify the correct graph.

• A

• B

• C

• D

Find the vertex, focus, and directrix of the parabola with the given equation. 

• vertex:  (3, 2) focus:  (5, 2) directrix:  x = 1

•  vertex:  (-3, -2) focus:  (-1, -2) directrix:  x = -5

• vertex:  (2, 3) focus:  (4, 3) directrix:  x = 0

• vertex:  (3, 2) focus:  (1, 2) directrix:  x = 5

Find the vertex, focus, and directrix of the parabola with the given equation. 

•  vertex:  (-4, 2) focus:  (-4, 6) directrix:  y = -2

• vertex:  (4, -2) focus:  (4, 2) directrix:  y = -6

•  vertex:  (2, -4) focus:  (2, 0) directrix:  y = -8

• vertex:  (-4, 2) focus:  (-4, -2) directrix:  x = 6

In a vertical parabola, which coordinate changes from the vertex to the focus?

Mathematical Equivalence

ON