Illustrative Math Intro to Quadratics

Find the vertex of
y = x² + 4x + 1
Use the equation in the picture!

• (0, 0)

• (-2, 13)

• (2, 13)

• (0.375, 6.0625)

Find the vertex of
y = 4x² + 4x + 4
Use the equation in the picture!

• (0, 0)

• (-0.5, 7)

• (0.5, 4)

• (0.375, 6.0625)

What shape is the graph of a quadratic?

• Hyperbola

• Parabola

• Straight Line

• Circle

Tags

CCSS.HSF-IF.C.7A

Parabolas can open which of the following ways?

• Up

• Down

• Right

• Left

A parabola changes direction at what point?

• Slope

• Y-intercept

• vertex

• x-intercept

An axis of symmetry is...

• a vertical line

• a horizontal line

A positive quadratic will open....

• downward

• upward

Tags

CCSS.HSF-IF.C.7A

Which equation below matches the graph?

• y = x² + 4x + 3

• y = x² + 4x

• y = x² + 3

• y = x² + 3x + 1

Tags

CCSS.HSF-IF.C.7A

Which of the following is the vertex of the graph?

• (0, 3)

• (3, -6)

• (1, 10)

• (4, -5)

James jumped off a cliff into the ocean while on vacation.  The function h = -16t² + 240 gives James' height above the water after t seconds.  How many seconds did it take him to get to the surface of the water?  

• 15 seconds

• 4 seconds

• 3.87 seconds

• 15.49 seconds