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WorksheetsParabola Transformations
Total questions: 10
Worksheet time: 8mins
Name
Class
Date
1.
Which is the most basic equation of a parabola?
a)
y = x2
b)
y = 2x2 + 3
c)
y = -x2 -4
d)
y = -x2
2.
What is the correct name for y = -x2?
a)
Reflection
b)
Translation
c)
Dilation
d)
Transformer
3.
What is the turning point of this graph?
a)
x=2
b)
y=-3
c)
(2, 1)
d)
y=1
4.
Which way does the graph move if the equation looks like y = (x - 3)2 ?
a)
Graph moves UP 3 units
b)
Graph moves to the RIGHT 3 units
c)
Graph moves DOWN 3 units
d)
Graph moves to the LEFT 3 units
5.
Which way does the graph move if the equation looks like y = (x + 4)2 ?
a)
Graph moves UP 4 units
b)
Graph moves to the RIGHT 4 units
c)
Graph moves DOWN 4 units
d)
Graph moves to the LEFT 4 units
6.
What transformation occurred to y = x2 to y = (x - 5)2 - 3?
a)
The graph translated right 5 units and down 3 units
b)
The graph translated right 3 units and down 5 units
c)
The graph translated left 5 units and down 3 units
d)
The graph translated left 3 units and up 5 units
7.
What happens to the parabola when you multiply its equation by a number bigger than 1? Eg y = 3x2
a)
Graph moves UP
b)
Graph gets WIDER
c)
Graph moves DOWN
d)
Graph gets NARROWER
8.
When you add a constant to y=x2 what happens to the graph? (Eg y = x2 + 2)
a)
Graph moves UP
b)
Graph moves to the RIGHT
c)
Graph moves DOWN
d)
Graph moves to the LEFT
9.
Which description best fits the transformation of f(x)=x2 into
f(x)=−21x2 ?a)
Opens down and is narrow
b)
Shifted down and is wider
c)
Shifted down and is Narrow
d)
Opens down and is wider
10.
Which of the following equations best fits the graphs of the transformed function shown in red?
f(x)=x2 is shown in black.a)
f(x)=−3x2
b)
f(x)=31x2−1
c)
f(x)=31(x−1)2
d)
f(x)=3(x−1)2
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