WorksheetsM2 - Chapter 9
Total questions: 31
Worksheet time: 3hrs 12mins
Name
Class
Date
1.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
2.
The graph of a quadratic function is called
a)
a line
b)
a hyperbola
c)
a parabola
d)
a cubic
3.
Determine the values of a and b for the quadratic equation: 4x2 – 8x - 3
a)
a = -4, b = -8
b)
a = 4, b =-8
c)
a = 4, b = 8
d)
a = -8, b = -3
4.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
5.
The formula x = -b/2a is used to find
a)
the roots
b)
the x-value of the vertex
c)
the y-intercept
d)
the axis of symmetry
6.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
7.
Find the roots of this equation
x2 + x - 6 = 0
x2 + x - 6 = 0
a)
4, -1
b)
3, -2
c)
-6, 1
d)
2, -3
8.
What is the y-intercept of the parabola y = 5x2 - 3
a)
5
b)
3
c)
- 3
d)
-5
9.
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
10.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
11.
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
12.
Which of the following is the correct equation for the given graph?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = -(x - 2)2 - 4
c)
f(x) = -3(x - 2)2 - 4
d)
f(x) = -3(x + 2)2 - 4
13.
What is the vertex?
y = -2x2 + 4x + 3
y = -2x2 + 4x + 3
a)
(0, 3)
b)
(-1, 5)
c)
(1, 5)
d)
(1, -5)
14.
How many times does the graph touch the x-axis?
a)
3
b)
2
c)
0
d)
1
15.
What is the y-intercept? f(x) = (x - 5)2 + 12
a)
(0, -5)
b)
(0,12)
c)
(0, 37)
d)
(0, 212)
16.
What is the y-intercept?
f(x) = -2x2 + 4x - 6
f(x) = -2x2 + 4x - 6
a)
(0, 6)
b)
(0, -6)
c)
(6, 0)
d)
(-6, 0)
17.
Convert the equation y= x2-2x-5 into vertex form.
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
18.
Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?
f(x) = x2 + 12x - 2
written in vertex form?
a)
f(x) = (x + 6)2 + 142
b)
f(x) = (x + 6)2 - 34
c)
f(x) = (x + 6)2 - 38
d)
f(x) = (x + 6)2 + 34
19.
Convert the equation
x2-12x+40
into vertex form
x2-12x+40
into vertex form
a)
(x+6)2-4
b)
(x+6)2+4
c)
(x-6)2-4
d)
(x-6)2+4
20.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
21.
What is the equation of the graph below?
a)
f(x ) = I x + 4 I + 2
b)
f(x ) = -I x - 4 I + 2
c)
f(x ) = I x - 4 I + 2
d)
f(x ) = -I x + 4 I + 2
22.
What is the equation of the graph below?
a)
f(x) = - I x + 2 I
b)
f(x) = - I x - 2 I
c)
f(x) = I x + 2 I
d)
f(x) = I x - 2 I
23.
What is the equation of the graph below?
a)
f(x) = I x + 2 I
b)
f(x) = I x + 2 I +2
c)
f(x) = I x - 2 I +2
d)
f(x) = I x - 2 I
24.
Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3
y = -2 I x - 3 I + 3
a)
reflected over x axis, stretched by 2, right 3, up 3
b)
reflected over x axis, stretched by 2, left 3 up 3.
c)
reflected over x axis, shrunk by 2, right 3, up 3
d)
reflected over the x axis, shrunk by 2, left 3, up 3
25.
Describe the transformations from the parent graph to f(x) = -3∣x + 5∣ - 7
a)
Down 7, Left 5, Stretch by 3, Flip
b)
Up 7, Right 5, Stretch by 3, Flip
c)
Down 7, Left 5, Compress by 3, Flip
d)
Up 7, Right 5, Compress by 3, Flip
26.
What is the vertex of the following function?
y=2|x-3|+1
y=2|x-3|+1
a)
(2,3)
b)
(-3,1)
c)
(2,-3)
d)
(3,1)
27.
Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units
a)
f(x) = |2x + 1| - 9
b)
f(x) = |2x - 1| - 9
c)
f(x) = 2|x + 1| - 9
d)
f(x) = 2|x - 1| - 9
28.
What is the length of the blue arc?
a)
45⁰
b)
3.9 mi
c)
5.9 mi
d)
7.9 mi
29.
What is the area of the yellow shaded sector?
a)
23.6 m2
b)
11.8 m2
c)
62.8 m2
d)
117.8 m2
30.
Once a Don, _________ a Don.
a)
Always
b)
Forever
c)
Truly
d)
Ever
e)
Proudly
31.
Once a Don, always a _____________
a)
Don
b)
Royal
c)
Charger
d)
Condor
e)
Clown
100 %
