Quadratics

Complete the square.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9

Tags

CCSS.HSA-REI.B.4B

Which is the interval of increasing for the graph?

• (−∞, 1)

• (1, ∞)

• (−∞, -4)

• (-4, ∞)

Tags

CCSS.HSF-IF.C.7A

Solve the system of Equations:

y= 3

y= x² - 4x + 7

• (2,3) and (4,3)

• (3,2) and (3,4)

• Only (-2,3)

• Only (2,3)

Tags

CCSS.HSA.REI.C.7

Using your calculator, graph y = -3x² + 6x - 5 and identify the max or min.

• Max: (1, -2)

• Min: (1, -2)

• Max: (-2, 1)

• Min: (-2, 1)

Using your calculator, graph y = 2x² + 4x - 3 and identify the max or min.

• Max: (-1, -5)

• Min: (-1, -5)

• Max: (-5, -1)

• Min: (-5, -1)

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h = -4t² + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 1 second

• 2 seconds

Describe the transformations occurring to f(x) = x² + 5 if the new equation after the transformations is g(x) = (x - 3)² - 2

• Shifted right 3 units, shifted down 7 units

• Shifted left 3 units, shifted down 7 units

• Shifted right 3 units, shifted up 7 units

• Shifted left 3 units, shifted up 2 units

• Shifted right 3 units, shifted down 2 units

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down