Algebra, Quadratic Applications

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
What is the maximum height of the ball?

• 126.56 ft

• 5.625 sec

• 2.81 sec

• 90 ft

How fast would you reach the water if you jump of a cliff using the formula:    h(t) = -16t² + 8t + 24?

• 8

• 1

• 1.5

• 1/4

Amelia runs a catering business. Based on her records, her profit is shown by P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

• -1

• 5

• 11

• 25

• 50

When I want to find the maximum or minimum height of an object, I should_____

• Set the equation = 0 and solve.

• Use x = (-b/2a) as my answer.

• Substitute x = 0 into the equation.

• Find the y-coordinate for the vertex.

• A

• B

• C

• D

Which of the following is true about the graph of this equation? Select all that apply.

• y-intercept is at (0,3)

• y-intercept is at (0,6)

• parabola opens up

• parabola opens down

Tags

CCSS.HSF-IF.C.7A

Which of the following represents a quadratic function?

At which points does the graph of f(x) = 12x² + 24x - 180 intersect the x-axis?

• (5,0) (-3,0)

• (-5,0) (3,0)

• (12,0) (-15,0)

• (-12,0) (15,0)

Tags

CCSS.HSF-IF.C.7A

Lisa jumped off a cliff into the water. Lisa goes up some and then begins to fall into the water after reaching her maximum height. Lisa's height above the surface of the water is given by h(t) = -16t² + 8t + 24. What is Lisa's maximum height?

• 24 feet

• 25 feet

• 12 feet

• 20 feet

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A