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Worksheets

COQF

Total questions: 30

Worksheet time: 38mins

Name
Class
Date
1.
In the picture, what does the coordinate (0, -2), where the parabola crosses over the y-axis, represent?
a)
the x-intercept
b)
the minimum
c)
the axis of symmetry
d)
the y-intercept
2.
On a graph, the value of x at the point where the line crosses the x-axis. Represented on B by the points (-2, 0) and (2,0) and on A by the origin.
a)
x-intercepts
b)
y-intercepts
c)
vertex
d)
axis of symmetry
3.
The minimum of a quadratic function is
a)
The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing
b)
The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing
4.
The maximum of a quadratic function is
a)
The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing
b)
The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing
5.

What is the orange line called?

a)

Line of Solutions

b)

Roots

c)

Vertex

d)

Axis of Symmetry

6.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
7.
The point in which a graph hits the x-axis is know as the _____
a)
Solution
b)
x-intercept
c)
Root
d)
All answers are correct
8.

The graph of a quadratic function is called a

a)

line

b)

parabola

c)

half oval

d)

vertex form

9.

If the vertex of this graph is (2, -1), what is the axis of symmetry?

a)

x= -1

b)

x = 2

c)

y = -1

d)

x = -2

10.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
11.
Does the quadratic have a max/min vertex, and does the parabola open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
12.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
13.
What is the arrow pointing at? How can you use this value?
a)
The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum 
b)
The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry
c)
The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
d)
The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum
14.

Which photo represents a quadratic function?

a)
b)
c)
15.
Which of the following does not represent the solutions of a quadratic equation?
a)
y-intercepts
b)
roots
c)
zeros
d)
x-intercepts
16.

What does the vertex represent?

a)

The object is at its highest point, 64 feet at 2 seconds.

b)

The object is at its highest point, 2 feet at 64 seconds.

c)

The object is at its highest point, 64 in. at 2 hours.

d)

The object is at its highest point, 64 meters at 2 days.

17.

What is the domain of the function?

a)

0 < x < 4

b)

x is all real numbers

c)

0 < y < 4

d)

0 < y < 64

18.

What are the roots of the following quadratic?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

19.

Which of these quadratic functions is shown in the graph?

a)

y=(x2)2+1y=\left(x-2\right)^2+1

b)

y=(x+2)2+1y=\left(x+2\right)^2+1

c)

y=(x+2)21y=\left(x+2\right)^2-1

d)

y=(x2)21y=\left(x-2\right)^2-1

20.

Which of the following is the graph of a quadratic function?

a)
b)
c)
d)
21.

Select the false statement about the parabola

a)

The vertex is at (-2,-3)

b)

The minimum is -3

c)

The maximum is -3

d)

The y-intercept is -7

22.

Select the false statement about the parabola.

a)

It has 2 zeros

b)

The axis of symmetry is x= - 2

c)

The minimum is -3

d)

It is concave down

23.

What is the vertex?

a)

(2,3)

b)

(0,-1)

c)

(-3,-2)

d)

(-2,-3)

24.

Select the function that has a maximum.

a)

y = -(x+3)2+5

b)

y = x2+5x-7

c)

y = (x-3)2-5

d)

y = (x+3)(x+5)

25.

A quadratic function has vertex of (2,7). What must be true?

a)

the y-intercept is 7

b)

Axis of symmetry is x=2

c)

It has no zeros

d)

it has a maximum of 7

26.

A quadratic function has a minimum of 3 and axis of symmetry of x= - 4. What must be true?

a)

The parabola opens up

b)

the vertex is (-4,3)

c)

the vertex is (3,-4)

d)

The zeros are 3 and -4

27.

Select the zero (x-intercept) of the function.

a)

4

b)

0

c)

2

d)

1

28.

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.


For which interval is the ball's height always decreasing?

a)

0x2.50\le x\le2.5

b)

0<x<5.50<x<5.5

c)

2.5<x<5.52.5<x<5.5

d)

x2x\ge2

29.

The height, y, of a ball tossed into the air can be represented by the equation

y = −x2 + 10x + 3, where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?

a)

y = 5

b)

y = -5

c)

x = 5

d)

x = -5

30.

The height of a ball Doreen tossed into the air can be modeled by the function h(x) = −4.9x2 + 6x + 5, where x is the time elapsed in seconds, and h(x) is the height in meters. The number 5 in the function represents

a)

the initial height of the ball

b)

the time at which the ball reaches the ground

c)

the time at which the ball was at its highest point

d)

the maximum height the ball attained when thrown in the air