Equations of Parabolas and Key Features

What is the y-intercept of this parabola?

• (−1, 3)

• (−3, 11)

• (−2, 5)

• (0, 5)

Identify the form for the following Quadratic:

y = 3(x + 4)² - 1

• Vertex Form

• Standard Form

• Factored Form

Identify the form for the following Quadratic:

y = -3(x - 2)(x - 6)

• Vertex Form

• Standard Form

• Factored Form

Given a parabola with a vertex at (4,3) and a directrix of y=1, write the equation of the parabola.

Mathematical Equivalence

ON

A bridge is built in the shape of a parabolic arch. The arch is 100 feet wide at its base and 20 feet high at its center. How high is the arch 25 feet away from its center?

• 15 feet

• 16 feet

• 18 feet

• 20 feet

Given a parabola with a vertex of (4,0) and a focus of (4,-1) write the equation of the parabola.

Mathematical Equivalence

ON

In the equation of a parabola, d is the distance from the ​ (a)   to the ​ (b)   .

• vertex

• focus

• parabola

What is the vertex of the given parabola?

• (1, - 4)

• (-1, 0), (3, 0)

• x = 1

• (-4, 1)

What is the Axis of symmetry?

• Y=3

• y=-3

• x= 3

• x=-3

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical