Characteristics of Quadratic Equations

Multiple Choice

What is a, b, and c in 3x² + 4 = 5x?

• a = 3, b = -5, c = 4

• a = 3, b = 5, c = 4

• a = 3, b = 5, c = -4

• a = 3, b = -5, c = -4

Multiple Choice

What is the vertex of this quadratic equation?

y = -2(x + 2)² + 4

• (-2,4)

• (-2,-4)

• (4,-2)

• (-4,-2)

Multiple Choice

What is the vertex of the function y = x² +4x -3?

• (-2, -7)

• (-2, 7)

• (2, 7)

• (2, -7)

Multiple Choice

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

• x = 0

• x = 1

• y = 0

• y = 1

Fill in the Blanks

Find the vertex for
f(x) = x² - 8x + 15.

Enter your answer as (x value, y value)

Multiple Choice

What are the X-intercept(s) of this graph?

• (-3, 4)

• -3

• 1 and 3

• (2, 1)

Multiple Choice

Does the graph have a maximum or a minimum?

• Maximum

• Minimum

• Both

• Neither

Fill in the Blanks

What is the maximum value (look at the maximum y coordinate)?

Type the NUMBER only!

Multiple Choice

Use the graph to determine the X-intercepts:

• (-1,0) and (-3,0)

• (1,0) and (3,0)

• (0,1) and (0,3)

• (0,-1) and (0,-3)

​Plug the equation into desmo to check your answer

Work in your packet

Complete pages 2, 3, 5 and 6
Use Desmos to complete pages 7 - 9.