WorksheetsIdentifying Transformations in Vertex Form
Total questions: 28
Worksheet time: 56mins
Name
Class
Date
1.
What is the vertex of the parabola: y=2(x-3)2+4
a)
(3,4)
b)
(-3,4)
c)
(3, -4)
d)
(-3,-4)
2.
Which equation below represents a parabola that opens upward with a vertex at (0, -5)?
a)
y = x2 + 5
b)
y = x2 - 5
c)
y = (x - 5)2
d)
y = (x + 5)2
3.
What is the vertex for the parabola represented by the equation
y = 2(x + 3)2 - 8?
y = 2(x + 3)2 - 8?
a)
(3, 8)
b)
(3, -8)
c)
(-3, 8)
d)
(-3, -8)
4.
What causes the graph of y = x2 to open downward?
a)
multiply the x2 by a fraction
b)
multiply the x2 by a decimal
c)
multiply the x2 by a negative number
d)
multiply the x2 by a number greater than 1
5.
What is the vertex of the equation
y= (x-12)2+7 ?
y= (x-12)2+7 ?
a)
(1,7)
b)
(-12, 7)
c)
(7,12)
d)
(12, 7)
6.
Determine the vertex of the parabola y=5(x-2)2–7
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
7.
The parabola
f(x)=(x+3)2+2
has a vertex of (-3, 2) and a y-intercept (0,11).
f(x)=(x+3)2+2
has a vertex of (-3, 2) and a y-intercept (0,11).
a)
True
b)
False
8.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry
d)
Vertex Form
9.
Does the graph of
-2(x + 5) + 2
have a minimum or a maximum?
-2(x + 5) + 2
have a minimum or a maximum?
a)
Minimum
b)
Maximum
c)
It has neither.
d)
It has both.
10.
Given: y = 2(x - 5) + 6, the vertex is
a)
(2,-5)
b)
(-5,6)
c)
(2,6)
d)
(5,6)
11.
Given: 1/2(x + 4) - 5, the equation of the axis of symmetry is
a)
y = 4
b)
x = -4
c)
x = 4
d)
x = -5
12.
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
13.
What is the range of (x + 5) - 8
a)
y ≥ -5
b)
y ≥ 5
c)
y ≥ 8
d)
y ≥ -8
14.
How does the value for "h" transform a graph?
a)
Horizontal Shift
b)
Vertical Shift
c)
Vertical Stretch
d)
Vertical Compression
15.
When x2 is changed to x2 -3, the graph
a)
Shifts left 3 units.
b)
Shifts right 3 units
c)
shifts up 3 units.
d)
Shifts down 3 units.
16.
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
17.
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
18.
Which of the following is the correct equation for the given graph?
a)
f(x) = -2(x + 5)2 - 3
b)
f(x) = -2(x - 5)2 - 3
c)
f(x) = -(x + 5)2 - 3
d)
f(x) = -(x - 5)2 - 3
19.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
20.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
21.
What is the axis of symmetry of the given function?
a)
y = 1
b)
y = -1
c)
x = 1
d)
x = -1
22.
What is the vertex form for a vertex of (1, 5) and when a=3?
a)
f(x) = 3(x-1)2 +5
b)
f(x) = 1(x-3)2+5
c)
f(x) = 3(x-5)2+1
d)
f(x) = 3(x+1)2+5
23.
What is the vertex form for a vertex of (-3,-5) and when a=-2?
a)
y = -2(x-3)2+5
b)
y = -2(x+3)2+5
c)
y = -2(x+3)2-5
24.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
25.
Given the equation for this parabola:
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
26.
What is the vertex of the equation
y= (x-12)2+7 ?
y= (x-12)2+7 ?
a)
(1,7)
b)
(-12, 7)
c)
(7,12)
d)
(12, 7)
27.
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
28.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
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