Free Printable Calc Quiz 2.1

1.

Use the function to determine whether the graph
opens up or down, the vertex, and the axis of symmetry.

f\left(x\right)=x^2-6x+5

a)

opens down Vertex: (3, -4) AOS: x=-4

b)

opens up Vertex: (-3, 32) AOS: x= -3

c)

opens down Vertex: (-4, 3) AOS: y=3

d)

opens up Vertex: (3, -4) AOS: x=3

2.

Use the function to determine the y-intercept.

$f\left(x\right)=x^2-6x+5$

a)

(0, 5)

b)

(0, 1)

c)

(5, 0)

d)

(1, 0)

3.

Use the function to determine the x-intercept(s).

$f\left(x\right)=x^2-6x+5$

a)

there are none

b)

(5, 0)

c)

(1, 0) & (5, 0)

d)

(-1, 0) & (-5, 0)

4.

A rope manufacturer has found that the revenue from sales of heavy-duty ropes is a function of the unit price p that it charges. The company's revenue R (in dollars) is

$R\left(p\right)=-0.5p^2+10p$ What unit price should be charged to maximize revenue?

a)

$25

b)

$20

c)

$50

d)

$10

5.

A rope manufacturer has found that the revenue from sales of heavy-duty ropes is a function of the unit price p that it charges. The company's revenue R (in dollars) is

$R\left(p\right)=-0.5p^2+10p$ What would be the maximize revenue? Enter your answer with no spaces or dollar signs.

a)

$25

b)

$20

c)

$50

d)

$10

6.

Beth has 3,000 feet of fencing available to enclose a rectangular field. What is the largest area that can be enclosed?

a)

750 square feet

b)

562,500 square feet

c)

12,000 square feet

d)

1,125,000 square feet

7.

A ball is thrown from first base and follows the path created by the function shown. Find the distance from first base when the ball reaches its maximum height.

f\left(x\right)=-.5x^2+3x

a)

3

b)

4.5

c)

6

d)

9

8.

A ball is thrown from first base and follows the path created by the function shown. Find the maximum height of the ball.

f\left(x\right)=-.5x^2+3x

a)

3

b)

4.5

c)

6

d)

9

9.

A ball is thrown from first base and follows the path created by the function shown. How far from first base does the ball hit the ground?

f\left(x\right)=-.5x^2+3x

a)

3

b)

4.5

c)

6

d)

9

10.

An object is projected into the air with a path described by the quadratic function, where h is the height above the ground in feet and t is the time in seconds since the object started along the path.

h\left(t\right)=-16t^2+32t

What is the maximum height of the object? Type your numerical answer only, no spaces or words.

(a)

11.

An object is projected into the air with a path described by the quadratic function, where h is the height above the ground in feet and t is the time in seconds since the object started along the path.

h\left(t\right)=-16t^2+32t

At what time does the object reach its maximum height?
Type your numerical answer only, no spaces or words.

(a)

12.

How would you translate the graph of
$y=-x^2$

to produce the graph of $y=-\left(x-6\right)^2$ ?

a)

translate the graph to the LEFT 6 units

b)

translate the graph to the RIGHT 6 units

c)

translate the graph DOWN 6 units

d)

translate the graph UP 6 units

13.

$y=-3x^2+12x-8$

Find the vertex and axis of symmetry.

a)

Vertex: (2,4) AOS x=2

b)

Vertex: (-2, 4) AOS x= -2

c)

Vertex: (4, -2) AOS x= 4

d)

Vertex: (-4, -2) AOS x= -4

14.

What steps transform the graph y = x² to y = x² + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

15.

What steps transform the graph y = x² to y = (x - 4)²

a)

Shifted down 4 units

b)

Shifted left 4 units

c)

Shifted right 4 units

d)

Shifted up 4 units

Calc Quiz 2.1

Total questions: 15

Worksheet time: 47mins

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