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Quadratic Functions Max Heights

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Quadratic Functions Max Heights
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.HSF-IF.C.7A

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the range of this function?

(- ∞,+∞)

[0, +∞)

[-2, +∞)

[2, +∞)

Tags

CCSS.HSF-IF.C.7A

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

5.

DRAG AND DROP QUESTION

1 min • 2 pts

Media Image

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

7.

MATH RESPONSE QUESTION

1 min • 1 pt

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

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