WorksheetsUnit 5 -2
Total questions: 28
Worksheet time: 3hrs 39mins
Name
Class
Date
1.
Solve by taking square roots.
p2 = 64
p2 = 64
a)
(8, -8)
b)
8
c)
1
d)
(1, -1)
2.
Solve by taking square roots.
n2 + 10 = 26
n2 + 10 = 26
a)
(6, -6)
b)
(4, -4)
c)
(16, -16)
d)
(36, -36)
3.
Solve by factoring.
a)
(4, -7)
b)
(3, -8)
c)
(-2, 0)
d)
(2, -3)
4.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
5.
What is the factored form of x2+16x+15
a)
(x+1)(x+15)
b)
(x+3)(x+5)
c)
(x-3)(x-5)
d)
(x-1)(x+15)
6.
What are the factors of x2+3x-40
a)
(x+10)(x-4)
b)
(x+8)(x-5)
c)
(x+20)(x-2)
d)
(x+1)(x-3)
7.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
8.
Which binomials are a difference of squares?
I. 6a2-25
II. 4x2+16
III. b2-9
IV. 49y2-64
I. 6a2-25
II. 4x2+16
III. b2-9
IV. 49y2-64
a)
I only
b)
III only
c)
III and IV
d)
II, III, and IV
9.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
10.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
11.
The axis of symmetry of this parabola is...
a)
y=4
b)
y=-4
c)
x=4
d)
x=-4
12.
What is the y intercept for the graph
a)
(2, 1)
b)
(1, 2)
c)
(3, 0)
d)
(0, 3)
13.
Does the quadratic function
y = - x2 - 2x + 3 have a maximum or minimum , and does the parabola open up or down?
y = - x2 - 2x + 3 have a maximum or minimum , and does the parabola open up or down?
a)
maximum, opens down
b)
minimum, opens up
c)
maximum, opens up
d)
minimum, opens down
14.
Find the axis of symmetry for
f(x) = x2 - 8x + 15.
f(x) = x2 - 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
15.
What is the y-intercept of
f(x) = 7x2 + 2x - 1 ?
f(x) = 7x2 + 2x - 1 ?
a)
(0, 1)
b)
(0, -1)
c)
(1, 0)
d)
(-1, 0)
16.
Write the equation in vertex form y = a(x - h)2 + k by completing the square.
f(x) = x2 - 2x - 5
f(x) = x2 - 2x - 5
a)
f(x) = (x - 1)2 - 6
b)
f(x) = - (x - 1)2 - 6
c)
f(x) = (x + 1)2 - 6
d)
f(x) = - (x + 6)2 - 1
17.
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
18.
Which of the following is the correct equation for the given graph?
a)
y = (x - 1)2
b)
y = - (x - 1)2
c)
y = x2 + 1
d)
y = x2 - 1
19.
What are the roots of the graph?
a)
x = 1
b)
x = 1 and x = 0
c)
y = 1
d)
no real solutions
20.
Find the zeros of this function.
a)
x = 3
b)
x = 3 and x = 1
c)
x = -3 and x = 1
d)
no real solutions
21.
Given the equation for this parabola
f(x) = -x2 + 8x - 19,
does this parabola have a maximum or minimum value?
f(x) = -x2 + 8x - 19,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
22.
Compared to the parent function, what effect does the 5 have in f(x)=5(x+3)2-10 ?
a)
Vertical Stretch
b)
Vertical Compression
c)
Horizontal Stretch
d)
Horizontal Compression
23.
If the blue graph is
f(x) = x2
the red must be...
f(x) = x2
the red must be...
a)
g(x) = (x + 3)2
b)
g(x) = (x - 3)2
c)
g(x) = x2 + 3
d)
g(x) = x2 - 2
24.
If the blue graph is
f(x) = x2
then the red must be...
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
25.
Which transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
vertical shift 4 units down
b)
vertical shift 4 units up
c)
horizontal shift 4 units to the left
d)
horizontal shift 4 units to the right
26.
The graph of which equation would be a reflection of the parent function and make it vertically compress?
a)
y = -.5x2
b)
y = .3x2
c)
y = - 2.5x2
d)
y = -x2
27.
What is the vertical shift of this equation?
y = -(x + 3)2 - 5
y = -(x + 3)2 - 5
a)
up 3
b)
down 3
c)
up 5
d)
down 5
28.
Fred sees a graph that shows a parabolic shape by transforming the quadratic parent function, f(x)=x2. The graph he sees opens downward, stretched vertically by a factor of 5, shifted right by 6 unit, and shifted down by 7units. Which equation represents the parabola?
a)
y=-5(x-6)²-7
b)
y=5(x-6)²-7
c)
y=-5(x+6)²-7
d)
y=5(x+6)²-7
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