Quadratics #4 Review

A quarterback passes a football through the air. The height h of the ball in yards after the distance d in yards the ball travels horizontally is given by $h\left(d\right)=-0.25d^2+2d+6$ . How far horizontally from the quarterback passing the ball will the ball land on the ground if it’s not caught? Round to the nearest yard.

• about 2 yds.

• about 7 yds

• about 6 yds.

• about 10 yds.

You throw a ball upward. Its height, h, in feet, after t seconds can be modeled by the function   $h\left(t\right)=-16t^2+30t+6$  After how many seconds will it hit the ground? Round to the nearest 100th.

• about .18 ft.

• about 32.92 ft.

• about 2.06 ft.

• about 6.02 ft.

An architect designing a rectangular patio wants to place a brick border on the outside with a width of x feet. The inside of the patio without the brick border will have dimensions of 8 feet by 13 feet.

SCROLL FOR THE REST OF THE PROBLEM.

Together the patio with the border will have an area of 160 square feet. Write an equation that can be used to find x, the width of the brick border, and then solve your equation to the nearest tenth of a foot.

• about 1.2 ft.

• about 5 ft

• about 8.2 ft.

• about 11.7 ft.

For the graph of $y=-2x^2+12x–7$ ,find the coordinates of its vertex

•  $\left(-3,\ -61\right)$  

•  $\left(\frac{1}{3},\frac{-29}{9}\right)$  

•  $\left(-\frac{1}{3},-\frac{101}{9}\right)$  

•  $\left(3,11\right)$  

For the graph of $y=-2x^2+12x–7$ , write the equation in vertex form.

•  $y=-2\left(x+3\right)^2-61$  

•  $y=-2\left(x+\frac{1}{3}\right)^2+\frac{101}{9}$  

•  $y=-2\left(x-\frac{1}{3}\right)^2-\frac{29}{9}$  

•  $y=-2\left(x-3\right)^2+11$  

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Tags

CCSS.HSA.REI.B.4

Find the vertex of 
f(x) = -x² - 4x + 12

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What direction is the following equation opening?
y=-3x²-7x+8

• Up
• Down
• Left
• Right

Tags

CCSS.HSF-IF.C.7A

A parabola is upside-down when a is:

• negative
• positive
• 0
• infinite

Tags

CCSS.HSF-IF.C.7A