Graphs and Applications

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

If you square 5 more than a positive number, the result is 88 more than 12 times the number.  Find the numbers.

• -9, 7
• √75
• 9, -7
• 15, -5

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? 

• 10
• -5
• 5
• -10

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

• (-2, 16)
• (-2, 14)
• (2, 4)
• (-2, 4)

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5
• x = 5 or x = -3
• x = -5 or x = 3
• x = -3 or x = -5

Tags

CCSS.HSA-REI.B.4B

What is the greatest number of solutions that a Quadratic Equation can have?

• 0
• 1
• 2
• 3

Solve

x² + 44 = -15x

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Tags

CCSS.HSA-REI.B.4B

Solve

2x²+ 7x = -6

• x= 3/2 and x = 2

• x = -3/2 and x = -2

• x = 6 and x = 7

• x = -6 and x = -7

Tags

CCSS.HSA-REI.B.4B