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Graphing Quadratics Quizizz

Total questions: 62

Worksheet time: 2hrs 54mins

Name
Class
Date
1.

Does this function open up or down?

a)

up

b)

down

2.

What is the y-intercept?

a)

(0,-4)

b)

(-4,0)

c)

(-2,0)

d)

(2,0)

3.

What are the x-intercepts (zeros)?

a)

(-2,0) and (2,0)

b)

(0,2) and (0,-2)

c)

(0,-4)

d)

(-2,-4) and (2,-4)

4.

What is the vertex?

a)

(0,-4)

b)

(4,0)

c)

(0,0)

d)

(3,5)

5.

What is the equation for the axis of symmetry?

a)

x=0

b)

x=2

c)

x=-4

d)

y=0

6.

Does the function open up or down?

a)

up

b)

down

7.

What is the y-intercept?

a)

(-1,8)

b)

(8,-1)

c)

(0,6)

d)

(6,0)

8.

What are the x-intercepts? (check all that apply)

a)

none

b)

(8,-1)

c)

(1,0)

d)

(-3,0)

9.

What is the vertex?

a)

(-1,8)

b)

(8,-1)

c)

(0,6)

d)

(-2,6)

10.

What is the equation for the axis of symmetry?

a)

x=-1

b)

x=8

c)

x=0

d)

y=-1

11.

How high was the ball when it was thrown? Choose the key feature and the answer.

a)

y-intercept, 0 feet

b)

y-intercept, 3 feet

c)

x-value of the vertex, 4

d)

y-value of the vertex 5

12.

When did the water reach its maximum height? Choose the key feature and the answer.

a)

x-value of vertex, 2 seconds

b)

y-value of vertex, 9 seconds

c)

y-intercept, 0 seconds

d)

x-intercept, 3.8 seconds

13.

What was the maximum height of the water? Choose the key feature and the answer.

a)

y-intercept, 0 feet

b)

x-value of the vertex, 2 feet

c)

y-value of the vertex 10 feet

d)

x-intercept. 3.85 feet

14.

What key feature tells the initial height of the roller coaster?

a)

y-intercept

b)

x-intercept

c)

axis of symmetry

d)

vertex

15.

What key feature tells the lowest point on the roller coaster?

a)

y-intercept

b)

vertex

c)

Axis of Symmetry

d)

x-intercept

16.

Find the axis of symmetry of the graph of f(x)=3x2+6x+4f\left(x\right)=3x^2+6x+4  

a)

x= -1

b)

y= -1

c)

x= 1

d)

y= 1

17.

Which of the following is NOT true of the
function f(x)=x2−6x+5f\left(x\right)=x^2-6x+5  

a)

The vertex is (3, -4)

b)

The axis of symmetry is x =-4

c)

The zeros of the function are x=1 and x=5

d)

The y-intercept is (0,5)

18.

What is true about the vertex of the parabola in the function f(x)=(x−2)2+1f\left(x\right)=\left(x-2\right)^2+1  ?

a)

It translates 2 units right and 1 unit up from the origin.

b)

It translates 2 units left and 1 unit down from the origin.

c)

It translates 2 units down and 1 unit right from the origin.

d)

It translates 2 units up and 1 unit  left from the origin.

19.

Which point is the vertex of the graph of
the function f(x)=(x+2)2−7?f\left(x\right)=\left(x+2\right)^2-7?  ?

a)

(-2, 7)

b)

(-2, -7)

c)

(2, -7)

d)

(7, 2)

20.

What is the vertex of the function f(x)=−x2−4x+5f\left(x\right)=-x^2-4x+5  

a)

(-2, 17)

b)

(-2, 9)

c)

(2, -7)

d)

(2, 1)

21.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
none of these
22.

Does the following quadratic equation have a maximum or minimum value? How can you tell? y=x2+2x−3y=x^2+2x-3  

a)

Minimum value, because the a value is positive

b)

Maximum value, because the b value is positive

c)

Maximum value, because the a value is positive

d)

Minimum value, because the c value is negative

23.

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

a)

(0, 1)

b)

(0, -1)

c)

(1, 0)

d)

(-1, 0)

24.

Describe how the graph of the function y=4x2+2y=4x^2+2  compares to the graph of

y=x2y=x^2 .  Check all that apply. 

a)

shrink

b)

stretch

c)

up 2

d)

down 2

e)

left 2

25.

Describe how the graph of the function y=−52x2y=-\frac{5}{2}x^2  compares to the graph of y=x2. y=x^2.\  Check all that apply. 

a)

Shrink

b)

stretch

c)

reflect

d)

up

e)

down

26.

Describe how the function y= 23x2−3y=\ \frac{2}{3}x^2-3  compares to the graph of  y=x2y=x^2 . Check all that apply.  

a)

stretch

b)

reflect

c)

shrink

d)

up 3

e)

down 3

27.

Describe how the graph of the function  y=−14x2+1y=-\frac{1}{4}x^2+1   compares to the graph of y=x2.y=x^2.  Check all that apply. 

a)

stretch

b)

shrink

c)

reflect

d)

up 1

e)

down 1

28.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
29.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
30.

A vertex that represents the LOWEST point on a graph is called _____

a)

maximum

b)

minimum

c)

vertex

d)

home run

31.

When the vertex is the HIGHEST point it is called ____

a)

tipping point

b)

maximus prime

c)

minimum

d)

maximum

32.

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

a)

y = -2

b)

x = 2

c)

x = -3

d)

y = -3

33.

Which is the graph the quadratic equation shown?

a)

A

b)

B

c)

C

d)

D

34.
If a is negative in the function, which way does the parabola open?
a)
up
b)
down
c)
left
d)
right
35.

Solve the equation. Check all that apply.

0=(x−7)(x+3)0=\left(x-7\right)\left(x+3\right)  

a)

7

b)

-3

c)

-7

d)

3

e)

-4

36.

What are the two x-intercepts? Check all that apply.
y=x(x+8)y=x\left(x+8\right)  

a)

0

b)

-8

c)

8

d)

1

e)

2

37.

The graph corresponds to which equation?

a)

y = (x + 1)(x - 4)

b)

y = (x - 1)(x + 4)

c)

y = (x + 1)(x + 4)

d)

y = (x - 1)(x - 4)

38.

Find the x-intercepts of the parabola.  Check all that apply.
y=x2+6x+5y=x^2+6x+5  

a)

-5

b)

-1

c)

3

d)

-4

e)

6

39.

Find the x-intercepts of the parabola. Check all that apply.
y=x2+3x−18y=x^2+3x-18  

a)

3

b)

-6

c)

3/2

d)

-81/4

e)

-18

40.
Which point is an example of a y-intercept?
a)
(3,4)
b)
(-2,8)
c)
(0,4)
d)
(5,0)
41.

If a parabola opens upward and has x-intercepts at (0, 3) and (0, -9), what is the equation?

a)

y = a(x - 3)(x - 9), a > 0

b)

y = a(x - 3)(x + 9), a < 0

c)

y = a(x - 3)(x - 9), a < 0

d)

y = a(x - 3)(x + 9), a > 0

42.

If a parabola opens downward and has x-intercepts at (0, 5) and (0, 6), what is the equation?

a)

y = a(x + 5)(x + 6), a < 0

b)

y = a(x - 5)(x - 6), a < 0

c)

y = a(x + 5)(x + 6), a > 0

d)

y = a(x - 5)(x - 6), a > 0

43.

What are the x-intercepts for g(x) = (x + 8)(x + 2)

a)

8 and 2

b)

(8, 2)

c)

-8 and - 2

d)

(-8, -2)

44.

What is the equation for finding the axis of symmetry/x-value of the vertex

a)

x=−b±b2−4ac2ax=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}  

b)

x=2abx=\frac{2a}{b}  

c)

x=my + bx=my\ +\ b  

d)

x=−b2ax=-\frac{b}{2a}  

45.

What value of the quadratic determines if the function will have a maximum or minimum?

a)

The vertex

b)

The axis of symmetry

c)

The "a" value

d)

The "c" value

46.

Does the following quadratic have a maximum or minimum?

y = −6x2−4x + 3y\ =\ -6x^2-4x\ +\ 3  

a)

Maximum

b)

Minimum

47.

Where is the maximum or minimum value found?

a)

At the vertex

b)

At the x-value of the vertex

c)

At the y-value of the vertex

d)

It cannot be found

48.
What is the name of this form:
y = ax2 + bx + c
a)
vertex form
b)
standard form
c)
factored form
d)
zero form
49.

Which equation is Vertex Form?

a)

y=ax2+bx+c

b)

y=a(x-h)2+k

50.
Given the equation for this parabola:
 y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
51.

What is the range of the function graphed above?

a)

y ≥ -2

b)

y ≤ 4

c)

y ≥ 4

d)

y ≤ -2

52.

What is the range of the parabola above?

a)

y ≤ 2

b)

y ≥ 2

c)

y ≤ 3

d)

y ≥ 3

53.
What is the domain of this quadratic graph?
a)
y ≥ 0
b)
y ≤ 0
c)
ℝ
d)
y ≥ -1
54.
Which best describes the height of the football at 2 seconds?
a)
10 feet
b)
22 feet
c)
6 feet
d)
31 feet
55.
Whats the vertex and what does it mean?
a)
(1.4, 31); At 1.4 seconds the football is at a maximum height of 31 ft
b)
(31, 1.4); At 1.4 seconds the football is at a maximum height of 31 ft
c)
31; The max height of the ball
d)
6 feet is the height the ball is thrown from
56.
Whats the y-intercept and what does it mean?
a)
(1.4, 31); At 1.4 seconds the football is at a maximum height of 31 ft
b)
6; The ball lands at 6 seconds
c)
31; The max height of the ball
d)
6; 6 feet is the height the ball is thrown from
57.
What quantity of pints of medicine produced is expected to have the highest profit?
a)
100
b)
200
c)
400
d)
700
58.
Find the x-intercepts:
y = x2+9x+18
a)
-6 and -3
b)
6 and 3
c)
-6 and 3
d)
6 and -3
59.
What are the roots of the equation
x2 + 11x - 42 = 0
a)
-3, -14
b)
3, -14
c)
-3, 14
d)
3, 14
60.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
61.

What is the correct equation for this parabola?

a)

y=(x−3)2−1y=\left(x-3\right)^2-1  

b)

y=(x−3)2+1y=\left(x-3\right)^2+1  

c)

y=(x+3)2−1y=\left(x+3\right)^2-1  

d)

y=(x+3)2+1y=\left(x+3\right)^2+1  

62.

What is the equation of the parabola?

a)

y=(x+1)(x+3)y=\left(x+1\right)\left(x+3\right)  

b)

y=(x−1)(x+3)y=\left(x-1\right)\left(x+3\right)  

c)

y=(x+1)(x−3)y=\left(x+1\right)\left(x-3\right)  

d)

y=(x−1)(x−3)y=\left(x-1\right)\left(x-3\right)