Comparison of Quadratic Functions Cellphone Problems

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

• 2 meters

• 5 meters

• 40 meters

• 20 meters

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function h(t) = −16t² + 24t, where t represents the time, in seconds, since the ball was thrown. What is the appropriate domain for this situation?

The height, y, of a ball tossed into the air can be represented by the equation

y = −x² + 10x + 3, where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?

• y = 5

• y = -5

• x = 5

• x = -5

Tags

CCSS.HSF-IF.C.7A

• A

• B

• C

• D

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7A

The equation f(x)= - (x+7)² +3 represents f(x), and the graph represents g(x). Select all of the true statements about the two functions

• The line of symmetry of g(x) is x=1

• The maximum of g(x) is less than the maximum of f(x)

• The value of x when f(x) is at its maximum is less than the value of x when g(x) is at its maximum

• g(x) has a vertex value that is a minimum

• f(x)'s graph is a parabola opening down

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Identify the function shown shown
.

• Linear

• Quadratic

• Exponential 

• Not answering

Compare ƒ(x) = -2x² - 8x + 20 to the graph of g(x) shown.  What can you conclude about the two functions?

•  ƒ(x) has a greater maximum than g(x).

• g(x) has a greater maximum than ƒ(x).

• ƒ(x) has a minimum, while g(x) has a maximum.

• g(x) and ƒ(x) have the same maximum.