Graphs of Quadratics

Graphs Quadratics

The Parabolic Function

Vertex of a Parabola

• f parabola opens down, the "k" of the vertex is a maximum value

• If parabola opens up, the "k" of the vertex is a minimum value

• The axis of symmetry is the EQUATION of the line x = h

Multiple Choice

Select the Vertex of parabola.

• (1,0)

• (9,0)

• (0,3)

• (5,-3)

• (3,0)

Multiple Choice

Select the y-intercept of parabola

• (1,0)

• (9,0)

• (0,3)

• (5,-3)

• (3,0)

Fill in the Blank

What is the axis of symmetry? _____

DO NOT USE SPACES when writing your answer.

Fill in the Blank

The picture shows the path of a rocket. What was the maximum height the rocket reached?

____ feet.

Fill in the Blank

The picture shows the path of a rocket. After how many seconds did the rocket reach its maximum height?

____ seconds.

Zeroes / Solutions

A Quadratic can have 2 solutions, 1 solution, no solution (Imaginary or complex)

The solutions to a quadratics are when (x) the function (y) equals zero.

What can the solutions to a quadratics represent context?

Multiple Select

What are the solutions to the quadratic in the following image?

(select all that apply)

• x = 1

• x = 9

• x = 5

• x = 0

• No Solution

Multiple Choice

Which graph has the solution set x = 2 and x = -2

Fill in the Blank

A man threw a ball from the top of a 70 ft corinthian Column. How long did it take for the ball to hit he ground?

____ seconds

Fill in the Blank

A 6ft man threw a ball from the top of a 90 ft corinthian Column. What is the initial height of the ball?