Quadratic Modeling

What are the solutions of the quadratic equation

4x² - 8x - 12 = 0?

• x = -1 and x = -3

• x = -1 and x = 3

• x = 1 and x = -3

• x = 1 and x = 3

Tags

CCSS.HSA-REI.B.4B

The function below models the height h, in feet, of an object above the ground t seconds after being launched straight up in the air. What does the number 72 represent in the function?

h(t) = -16t² + 110t + 72

• The maximum height, in feet, of the object

• The initial speed, in feet per second, of the object.

• The initial height, in feet, of the object.

• The maximum height, in feet, of the object.

The height, h, in feet of an object above the ground is given by h = -16t² + 32t + 240, t ≥ 0 where t is the time in seconds. Find the time it takes the object to strike the ground.

• 3

• 5

• 2

• 1

The height, h, in feet of an object above the ground is given by h = -16t² + 32t + 240, t ≥ 0 where t is the time in seconds. What is the maximum height of the object?

• 16 feet

• 240 feet

• 256 feet

• 224 feet

The height, h, in feet of an object above the ground is given by h = -16t² + 32t + 240, t ≥ 0 where t is the time in seconds. Find the time it takes the object to reach its maximum height.

• 5 seconds

• 3 seconds

• 2 seconds

• 1 second

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Find the discriminant and determine how many zeros exist for the following function: 
x² - 6x + 5 = 0

• -56; No real roots
• 4; Two real solutions
• -56; Two real solutions
• 4; No real roots

Tags

CCSS.HSA-REI.B.4B

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

Solve Using the Quadratic Formula 
2x² + 7x - 15 = 0

• -1.5 or 5
• No Solution
• -5 or 1.5
• 0.7 or 5

Tags

CCSS.HSA-REI.B.4B

Classify the solutions to 
2g² + 7g + 3 = 0

• 0 real solutions
• 1 rational solution
• 2 rational solutions

Tags

CCSS.HSA-REI.B.4B