Quiz about Quadratics Readiness

Question 1

Are you ready for review on QUADRATICS GRAPHS/GRAPHING?

Accepted Answer

yes

Answer

no

Question 2

What is the equation for the axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 3

What is the green dot on the parabola called?

Accepted Answer

maximum

Answer

minumum

Answer

roots

Answer

zeros

Question 4

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 5

Does y = -4x² have a maximum or minimum value?

Accepted Answer

maximum

Answer

minimum

Question 6

Find the y-intercept of f(x) = -x²- 4x + 1

Accepted Answer

1

Answer

-2

Answer

4

Answer

-1

Question 7

What is the vertex of the quadratic function:
y = x² - 6x + 11?

Accepted Answer

(3,2)

Answer

(-3,-2)

Answer

(-3,2)

Answer

(3,-2)

Question 8

Determine the vertex of the parabola:
y = 5x²- 20x + 13

Accepted Answer

(2, -7)

Answer

(5, -7)

Answer

(-2, -7)

Answer

(-7, -2)

Question 9

What is the formula to find the vertex of a parabola?

Accepted Answer

x = -b / (2a)

Answer

x = -b/2

Answer

x = -b

Answer

x = -b / 2

Question 10

What are the x- intercepts?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 11

What is the range of this function?

Accepted Answer

All real numbers greater than or equal to -2.

Answer

All real numbers.

Answer

All real numbers greater than or equal to 0.

Answer

All real numbers greater than or equal to 2.

Question 12

What is another name for the x-intercepts of a quadratic?

Accepted Answer

zeros

Answer

y-intercepts

Answer

x-axis

Answer

none of these

Question 13

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

Accepted Answer

(1, 4); opens down

Answer

(-1, 4); opens up

Answer

(-1, 4); opens down

Answer

(1, 4); opens up

Question 14

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

Accepted Answer

True

Answer

False, because the solution and root are the same but the x-intercept and zero are different

Answer

False, because the x-intercept and root are the same but the zero and solution are different

Answer

False, they are all different

Question 15

Which point is an example of a y-intercept?

Accepted Answer

(0,4)

Answer

(3,4)

Answer

(-2,8)

Answer

(5,0)

Question 16

What is the vertex of the quadratic function: y=1/2(x-3)²+8?

Accepted Answer

(3,8)

Answer

(-3,-8)

Answer

(-3,8)

Answer

(3,-8)

Question 17

What is the axis of symmetry of:y=2x²-4x+9

Accepted Answer

x = 1

Answer

x = -1

Answer

x = -2

Answer

x = 4

Question 18

What is the y-intercept of: y=7x²+2x -1

Accepted Answer

(0, -1)

Answer

(0, 1)

Answer

(1, 0)

Answer

(-1, 0)

Question 19

What is the axis of symmetry for the following equation?

y=4x²-8x+9

Accepted Answer

x=1

Answer

x = 5

Answer

y = 1

Answer

y = 5

Question 20

What is the vertex of y=x²+4x+3?

Accepted Answer

(-2,-1)

Answer

(2,1)

Answer

(-2,1)

Answer

(0,0)

Question 21

Are you ready for the test on QUADRATICS GRAPHS/GRAPHING?

Accepted Answer

yes

Answer

no

Question 22

Are you ready for review on WRITING EQUATIONS?

Accepted Answer

yes

Answer

no

Question 23

What is the equation of this graph?

Accepted Answer

$$f\left(x\right)\ =\ \frac{1}{2}x\left(x-4\right)$$

Answer

$$f\left(x\right)\ =\ x\left(x+4\right)$$

Answer

$$f\left(x\right)\ =\ x\left(x-4\right)$$

Answer

$$f\left(x\right)\ =\ \frac{1}{2}x\left(x+4\right)$$

Question 24

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

Question 25

What form is this?
f(x)= 2(x+3)² - 4

Accepted Answer

Vertex Form

Answer

factored form

Answer

Standard Form

Answer

Parabola

Question 26

y=2x²-6x+1 is in what form?

Accepted Answer

Standard Form

Answer

Vertex Form

Answer

Factored form

Answer

Cannot be determined

Question 27

How did we transform from the parent function y = x²to y = -1/5(x - 1)² + 7 ?

Accepted Answer

reflection, vertical shrink, horizontal shift right, vertical shift up

Answer

vertical shrink, horizontal shift left, vertical shift up

Answer

reflection, horizontal shift right, vertical shift down

Answer

reflection, vertical stretch, horizontal shift left, vertical shift up

Question 28

Which of the equations represent the graph?

Accepted Answer

y=-(x+3)(x-1) and y= -x²-2x+3

Answer

y=(x+3)(x-1) and y=x²+2x-3

Answer

y=(x+3)(x-1) and y=-x²-2x+3

Answer

y=-(x-3)(x+1) and y= x²+2x-3

Question 29

Question 29.

Accepted Answer

F

Answer

G

Answer

H

Answer

J

Question 30

Question 30.

Accepted Answer

H

Answer

F

Answer

G

Answer

J

Question 31

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

Accepted Answer

a horizontal translation 4 units to the left

Answer

a vertical translation 4 units up

Answer

a vertical translation 4 units down

Answer

a horizontal translation 4 units to the right

Question 32

A quadratic function has zeros -7 and 9.

What are the linear factors of the function?

Accepted Answer

(x+7) (x-9)

Answer

(x-7) (x+9)

Answer

(x+7)(x+9)

Answer

(x-7)(x-9)

Question 33

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

Accepted Answer

The ball was kicked from the ground and it was in the air for 4 seconds.

Answer

The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

Answer

The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

Answer

The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

Question 34

Which of the following describes the graph of f(x)= x² - 2x -15.

Accepted Answer

The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)

Answer

The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)

Answer

The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)

Answer

The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

Question 35

Which of the following is written in the correct vertex form and identifies the correct vertex and y-intercept for the function f(x)= x²+6x-1?

Accepted Answer

y=(x+3)²-10
Vertex: (-3, -10)
y-intercept: (0, -1)

Answer

y=(x+3)²+19
Vertex: (-3, 19)
y-intercept: (0, 1)

Answer

y=(x+3)²+1
Vertex: (-3, -1)
y-intercept: (0, -10)

Answer

y=(x-3)²+10
Vertex: (3, 10)
y-intercept: (0, -1)

Question 36

Convert to vertex form.
y = 3x² +6x - 5

Accepted Answer

y=3(x+1)² - 8

Answer

y=3(x-1)² - 8

Answer

y=3(x+2)² - 8

Answer

y=3(x-2)² - 8

Question 37

Which of the following is the vertex to the function?
y =(x - 8)(x +2)

Accepted Answer

(3,-25)

Answer

(8,-2 )

Answer

(5,-21)

Answer

(-8,2)

Question 38

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

Accepted Answer

f(x)= -(x+4)²+7

Answer

f(x)= -(x-4)²+7

Answer

f(x)= (x+4)²+7

Answer

f(x)= (x-4)²+7

Question 39

Transfer from Standard Form to Vertex Form: n² - 4n - 15 = 6

Accepted Answer

(n - 2)² - 25

Answer

(n + 2)² +25

Answer

(n - 2)² - 13

Answer

(n - 2)² + 13

Question 40

How does the graph of g(x)=3x² compare to the quadratic parent function f(x)=x² ?

Accepted Answer

The graph of g(x) is narrower than the graph of f(x).

Answer

The graph of g(x) is wider than the graph of f(x).

Answer

The graph of g(x) is translated up 3 units above f(x).

Answer

The graph of g(x) is translated down 3 units below f(x).

Question 41

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

Accepted Answer

y = -4(x - 2)(x - 4)

Answer

y = -4(x + 2)(x + 4)

Answer

y = 4(x - 2)(x - 4)

Answer

y = -0.25(x - 2)(x - 4)

Question 42

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 43

Are you ready for the test on WRITING EQUATIONS?

Accepted Answer

yes

Answer

no

Question 44

Are you ready for review on WORD PROBLEMS?

Accepted Answer

yes

Answer

no

Question 45

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?

Accepted Answer

10 seconds

Answer

2 seconds

Answer

5 seconds

Answer

7 seconds

Question 46

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.
What is the maximum height?

Accepted Answer

1024 feet

Answer

960 feet

Answer

1008 feet

Answer

1152 feet

Question 47

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?

Accepted Answer

2 seconds

Answer

10 seconds

Answer

64 seconds

Answer

960 seconds

Question 48

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down?

Accepted Answer

19 feet

Answer

10 feet

Answer

13 feet

Answer

16 feet

Question 49

After how many seconds would it take you to reach the water if you went cliff diving and the following equation represents your path?

h(t) = -16t² + 8t + 24

Accepted Answer

1.5 seconds

Answer

8 seconds

Answer

1 second

Answer

1/4 second

Question 50

Are you ready for the test on WORD PROBLEMS?

Accepted Answer

yes

Answer

no

Question 51

Are you ready for review on SOLVING 3 METHODS?

Accepted Answer

yes

Answer

no

Question 52

Which of the following are other words for zeros? (Choose ALL that apply)

Accepted Answer

roots

Accepted Answer

x-intercepts

Accepted Answer

solutions

Answer

vertex

Answer

y-intercepts

Question 53

Use the Zero Product Property to solve the equation (7x+2)(5x-4)=0

Accepted Answer

-2/7 , 4/5

Answer

2,-4

Answer

2/7 , 4/5

Answer

-2, 4

Question 54

Factor x² + 12x + 20

Accepted Answer

(x + 2)(x + 10)

Answer

(x + 7)(x + 5)

Answer

(x + 6)(x + 6)

Answer

(x+4)(x+5)

Question 55

Factor: x²+16x+64

Accepted Answer

(x+8)2

Answer

(x+2)(x+32)

Answer

(x+8)(x-8)

Answer

(x+4)2

Question 56

Factor completely
k² -2k - 24

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

Question 57

Factor completely
k²+7x+10

Accepted Answer

(k+2)(k+5)

Answer

(k-2)(k-5)

Answer

(k+10)(k+4)

Answer

(k+2)(k-5)

Question 58

Factor completely
n² + 16n + 63

Accepted Answer

(n+7)(n+9)

Answer

(n-7)(n+4)

Answer

(n+7)(n-9)

Answer

(n-3)(n-10)

Question 59

Factor
n²-13n+40

Accepted Answer

(n-5)(n-8)

Answer

(n+5)(n-8)

Answer

(n-5)(n+8)

Answer

(n+6)(n+1)

Question 60

Solve by factoring
x² + 13x + 12 = 0

Accepted Answer

x = -12, -1

Answer

x = 12, 1

Answer

x = 13, 1

Answer

x = -13, -1

Question 61

Identify the 'b' value: y = 16x² -8x -24

Accepted Answer

-8

Answer

16

Answer

8

Answer

-24

Question 62

What is this?

Accepted Answer

This is the quadratic formula.

Answer

This is the speed of light formula.

Answer

This is the zero product property.

Answer

This is scary.

Question 63

Solve using the quadratic formula

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 64

Solve the equation using the quadratic formula.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

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