Quadratic Functions Max Heights

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 

Which equation best represents the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

What is the range of this function?

• (- ∞,+∞)

• [0, +∞)

• [-2, +∞)

• [2, +∞)

Convert to vertex form:
f(x) = x² + 10x + 24

• f(x) = ( x - 5 )² + 1

• f(x) = ( x + 5 )² - 1

• f(x) = ( x - 5 )² - 1

• f(x) = ( x + 5 )² + 1

A rocket is launched into the air with an initial velocity of 100 meters per second. The height of the rocket can be modeled by the equation

h(t) = -5t² + 100t.

The graph of the function is provided. How long does it take for the rocket to reach its maximum height?

(a)  

• 20

• 10

• 500

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation

h(t) = -16t² +128t

When will the object reach its maximum height?

• 4 ft

• 0 seconds

• 0 ft

• 4 seconds

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h = -4t² + 4t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height?

Mathematical Equivalence

ON

A ball is thrown into the air and the height of the ball can be modeled by the equation h(t) = -3t² + 12t + 2. The graph of the function is provided. What is the maximum height reached by the ball? Please type the answer only.

Mathematical Equivalence

ON

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

Mathematical Equivalence

ON

A rocket is launched into the air with an initial velocity of 80 meters per second. The height of the rocket can be modeled by the equation h(t) = -4t² + 80t. What is the maximum height reached by the rocket?

Mathematical Equivalence

ON