Free Printable HW15 - Unit 8 wrap up (graded)

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HW15 - Unit 8 wrap up (graded)

Total questions: 25

Worksheet time: 3hrs 26mins

Name

Class

Date

Find the vertex of the quadratic:
y = -2x² + 4x + 3

(0, 3)

(-1, 5)

(1, 5)

(1, -5)

Find the y-intercept y = x² - 6x + 5

(0, 8)

(0, - 6)

(5, 0)

(0, 5)

Which is the vertex of y = x²+ 16x + 71 ?

V(-8, 7)

V(-8, 3)

V(8, 10)

V(16, -2)

What is the formula above primarily used for?

Finding the axis of symmetry from standard form

Finding the vertex from standard form

Finding the vertex from vertex form

Finding the vertex from standard form

Does the equation open up or down?
Y = -3x² +7x - 2

down

Neither; it opens to the right.

Neither; it opens to the left.

The lowest point one hits when using a swing would represent what?

Maximum value

Minimum value

A root

An x-intercept

What is the vertex of this parabola?

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

Use the graph to determine the solutions.

(0, 1) and (0, 3)

(1, 0) and (3, 0)

(0, -3) and (2, 1)

(-3, 0) and (1, 2)

10.

Find the axis of symmetry for the graph

x = -1

x = 1

x = 3

x = -1 , 3

11.

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

horizontal shift left 7 units

horizontal shift right 7 units

vertical shift up 7 units

vertical shift down 7 units

12.

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

f(x)= -x²-17

f(x)= -(x-17)²

f(x)= -(x+17)²

f(x)= -x²+17

13.

Which quadratic function is represented by 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

14.

What is the significance of the ordered pair (1, -2) to the graph?

It is the maximum point

It is the vertex

It is the y-intercept

It is an x-intercept

15.

What is the significance of the ordered pair (3, 0) to the graph?

It is the maximum point

It is the vertex

It is the y-intercept

It is an x-intercept

16.

State the domain and range.

Domain: All real numbers, Range: y ≥ -9

Domain: All real numbers, Range: All real numbers

Domain: x ≥ -8, Range: y ≥ -9

Domain: x ≥ -8, Range: All real numbers

17.

Which function has a range y ≥ -4?

None of the above

18.

Which function has a maximum at (2, 0)?

19.

A football was thrown into the air and lands back down on the ground as shown in the model.

How high does the football go?

0.832

11.788

1.928

20.

What is the line of symmetry of the quadratic function shown?

y=5

x=-5

y=-5

x=5

21.

Identify the vertex and whether the graph opens up or down.

(5, 2); opens up

(5, 2); opens down

(-5, 2); opens up

(-5, 2); opens down

22.

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

23.

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.
When did the ball hit the ground?

10 seconds

2 seconds

5 seconds

7 seconds

24.

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long was the rocket in the air?

1 second

7 seconds

14 seconds

25.

Which graph best represents a function with a domain of all real numbers greater than or equal to $-7$ and less than $2$ ?

100 %

HW15 - Unit 8 wrap up (graded)

Total questions: 25

Worksheet time: 3hrs 26mins

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