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10-25 Vertex Form Practice

Total questions: 10

Worksheet time: 1hrs 1mins

Name
Class
Date
1.

Find the vertex.

y = x2 + 16x + 71

a)

(-8, 7)

b)

(-8, 3)

c)

(4, 10)

d)

(4, -2)

2.

Find the vertex.

y = 2x2 - 28x +94

a)

(14, -3)

b)

(14, 9)

c)

(7, 10)

d)

(7, -4)

3.

y = -x2 + 12x - 40

a)

y = - (x-6)2 - 4

b)

y = - (x-6)2 - 76

c)

y = - (x-6)2 + 4

d)

y = - (x-6)2 + 76

4.

x2 + 6x = 5

a)

0 = (x + 3)2 - 5

b)

0 = (x + 6)2 - 9

c)

0 = (x + 3)2 - 14

d)

0 = (x + 6)2 - 14

5.

f(x) = x2+6x+9

a)

f(x) = (x-3)2+18

b)

f(x) = (x+3)2+18

c)

f(x) = (x+3)2

d)

f(x) = (x-3)2

6.

How high would you jump if the equation, in feet per second, for jumping from a cliff is:

h(t) = -16t2 + 8t + 24?

a)

25 feet

b)

24 feet

c)

27 feet

d)

26 feet

7.
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?
a)
4 ft
b)
0 seconds
c)
0 ft
d)
4 seconds
8.

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function p=-15x2+600x+60 , where x is the price of each ticket. What is the maximum profit you can make from selling tickets?

a)

$6060

b)

$20

c)

$300

d)

$10,250

9.

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?

a)

1 second

b)

4 seconds

c)

3 seconds

d)

2 seconds

10.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t2 + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

7 feet

d)

8 feet

e)

12 feet