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WorksheetsQ
Total questions: 71
Worksheet time: 3hrs 39mins
Name
Class
Date
1.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
2.
Find the axis of symmetry for
f(x) = x2 - 8x + 15.
*Hint: Graph it.
f(x) = x2 - 8x + 15.
*Hint: Graph it.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
3.
Find the vertex of
f(x) = -x2 - 4x + 12.
*Hint: Graph it.
f(x) = -x2 - 4x + 12.
*Hint: Graph it.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
4.
Find the y-intercept of
f(x) = 2x2-2x + 1
*Hint: x=0 or graph
f(x) = 2x2-2x + 1
*Hint: x=0 or graph
a)
2
b)
-2
c)
1
d)
-1
5.
Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts
*Hint: Solutions = roots = zeros = x-intercepts
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
6.
Does
y = -4x2
have a maximum or minimum value?
*Hint: Does the graph look like a hill or a valley?
y = -4x2
have a maximum or minimum value?
*Hint: Does the graph look like a hill or a valley?
a)
maximum
b)
minimum
7.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
8.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Slope
c)
Maximum value
d)
A parabola
9.
Quadratic equations take the shape of a _______ when graphed.
a)
U
b)
straight line
c)
wavey line/snaked
d)
circle/elliptical
10.
Does this graph in the back have maximum or minimum value?
*Hint: Hill or valley?
*Hint: Hill or valley?
a)
maximum
b)
minimum
c)
neither
d)
both
11.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
12.
What is the axis of symmetry of
y=3x2-6x+4?
*Hint: x=-b/2a
y=3x2-6x+4?
*Hint: x=-b/2a
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
13.
Given:
y = 2(x - 5)2 + 6
the vertex is:
*Hint:
f(x) = a(x-h)2 + k
is vertex form, where (h,k) is the vertex.
y = 2(x - 5)2 + 6
the vertex is:
*Hint:
f(x) = a(x-h)2 + k
is vertex form, where (h,k) is the vertex.
a)
(2,-5)
b)
(-5,6)
c)
(2,6)
d)
(5,6)
14.
Given:
y = 3(x - 8)2 + 4
the vertex is
y = 3(x - 8)2 + 4
the vertex is
a)
(4,-8)
b)
(-8,4)
c)
(8, 4)
d)
(-4,8)
15.
Given:
y = 7(x + 2)2 - 11
the vertex is
y = 7(x + 2)2 - 11
the vertex is
a)
(-2, -11)
b)
(2, 11)
c)
(2, -11)
d)
(-2, 11)
16.
Given:
y = 8(x + 5)2 + 9
the vertex is
y = 8(x + 5)2 + 9
the vertex is
a)
(9,-5)
b)
(-5,9)
c)
(9,5)
d)
(5,-9)
17.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(-8, -7)
d)
(0, -7)
18.
Does the equation have a maximum or a minimum?
y = 2x2 + 7x + 5
y = 2x2 + 7x + 5
a)
max
b)
min
19.
Does the equation open or or down?
y = -3x2 +7x - 2
y = -3x2 +7x - 2
a)
up
b)
down
20.
Determine the line of symmetry.
y = x2+16x+64
y = x2+16x+64
a)
x=4
b)
x=2
c)
x=-8
d)
x=64
21.
What is the axis of symmetry of
y=2x2-4x+9?
y=2x2-4x+9?
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
22.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Squares
d)
Formulas
23.
A line about which a figure is symmetric is the ____ __ ________
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
24.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
25.
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
26.
What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.
*Hint: Domain is the set of all x-values included in the function.
a)
x≥3
b)
x≤3
c)
All real numbers
d)
-1≤x≤5
27.
What is the range of the function?
*Hint: Range is all of the y-values included in the function.
*Hint: Range is all of the y-values included in the function.
a)
y≤3
b)
y≥3
c)
All real numbers
d)
-6≤y≤3
28.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
29.
What piece of information does c identify in the following equation?
y=ax2+bx+c
y=ax2+bx+c
a)
Zeroes
b)
Axis of Symmetry
c)
Direction
d)
y-intercept
30.
What equation matches the following graph?
a)
y=-x2-8x+6
b)
y=x2-8x+6
c)
y=x2+8x-6
d)
y=x2-8x+11
31.
What equation matches the following graph?
a)
y=-2x2-4x-3
b)
y=2x2-4x-3
c)
y=-2x2-4x+3
d)
y=2x2-4x-6
32.
What can we find easily in standard form?
a)
vertex
b)
zeros/roots/x-intercepts
c)
y-intercept
33.
What can we find easily in factored form?
a)
y-intercept
b)
vertex
c)
zeros/roots/x-intercepts
34.
What can we find easily in vertex form?
a)
vertex
b)
y-intercept
c)
zeros/roots/x-intercepts
35.
Where can the equations for standard form, vertex form, the quadratic formula, and the axis of symmetry be found?
a)
STAAR Algebra I Reference Materials
b)
The Bible
36.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
37.
Multiply
2(x+1).
2(x+1).
a)
x2+2x
b)
2x+1
c)
2x+2
d)
2x2+2
38.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
39.
Factor the following quadratic trinomial:
x2+9x+14
x2+9x+14
a)
(x+9)(x+14)
b)
(x+7)(x-2)
c)
(x+7)(x+2)
d)
(x+1)(x+14)
40.
Domain is _. Range is _.
a)
x; y
b)
y; x
41.
Is this relation also a function?
{(1, 2), (2, 4), (3, 4), (4, 5)}
{(1, 2), (2, 4), (3, 4), (4, 5)}
a)
Yes
b)
No
42.
Combine like terms:
9x+3-2x+1
9x+3-2x+1
a)
7x+4
b)
11x+4
c)
There are no like terms.
d)
11x+1
43.
What is the slope of this line?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
44.
What is the slope of this line?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
45.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
a)
75
b)
76
c)
67
d)
77
46.
What is the correct way to factor the following difference of squares?
a2-b2
a2-b2
a)
(a+b)(a-b)
b)
(a-b)(a-b)
c)
(a+b)(a+b)
47.
Factor completely:
81x2-1
*Hint: Difference of squares
81x2-1
*Hint: Difference of squares
a)
(9x+1)(9x-1)
b)
(9x+1)(9x+1)
c)
(9x-1)(9x-1)
d)
(81x)(x-1)
48.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
49.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
50.
What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?
a)
The arrow is pointing at the y-intercept. 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
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 y value is equivalent to the minimum/maximum
51.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing
The solution, root, x-intercept, and zero of a problem are all the same thing
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
52.
Use the graph of the function f(x)=-2x2+4x+6 to find the solution(s) of the equation -2x2+4x+6=0.
a)
x=-1
b)
x=3
c)
x=-1 and x=3
d)
x=1and x=8
53.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
54.
What's the axis of symmetry of y=3x2-6x+4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
55.
Match the description to its equation.
Vertical stretch by a factor of 5
Vertical stretch by a factor of 5
a)
A
b)
B
c)
C
d)
D
56.
a)
Yes, "+3" on the end of the function moves the function to the right 3 units
b)
No, "+3" on the end of the function moves the function to the left 3 units
c)
No, "+3" on the end of the function moves the function to the down 3 units
d)
No, "+3" on the end of the function moves the function to the up 3 units
57.
Match the description to its equation.
Vertical stretch by a factor of 3
Vertical stretch by a factor of 3
a)
A
b)
B
c)
C
d)
D
58.
Match the description to its equation.
Moves right 7
Moves right 7
a)
A
b)
B
c)
C
d)
D
59.
Match the description to its equation.
-Moves left 2
-Moves left 2
a)
A
b)
B
c)
C
d)
D
60.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
61.
f(x) = 5x2 + 2
a)
Stretch of 5
Up 2
Up 2
b)
Shrink of 5
Up 2
Up 2
c)
Stretch of 5
Down 2
Down 2
d)
Shrink of 5
Down 2
Down 2
62.
What are the transformations?
y=(x-2)3+4
y=(x-2)3+4
a)
Horz shift right 2 Vert shift up 4
b)
Horz shift left 2 Vert shift up 4
c)
Horz shift right 2 Vert shift down 4
d)
Horz shift left 2 Vert shift up 4
63.
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
64.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
65.
How did the equation shift from the parent function? y=3x-2
a)
vertical shrink and down 2
b)
up 2
c)
down 2
d)
vertical stretch and down 2
66.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
67.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
68.
Find the vertex of the quadratic:
y = -2x2 + 4x + 3
y = -2x2 + 4x + 3
a)
(0, 3)
b)
(-1, 5)
c)
(1, 5)
d)
(1, -5)
69.
Does the equation open up or down?
Y = -3x2 +7x - 2
Y = -3x2 +7x - 2
a)
up
b)
down
70.
How many roots does this parabola have?
a)
3
b)
2
c)
0
d)
1
71.
The axis of symmetry of this parabola is...
a)
y=4
b)
y=-4
c)
x=4
d)
x=-4
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