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12 Quadratic Transformations Day 2
By Jeanmarie Mullen
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Last updated almost 5 years ago
16 questions
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Question 1
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Question 2
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Question 7
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Question 8
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Question 9
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Question 10
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Question 11
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Question 12
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Question 13
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Question 14
14.
Graph the function y = x
2
+ 4 on the set of axes below.
Explain how the graph of y = x
2
+ 4 has changed from the related graph y = x
2
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Question 15
15.
The graph of the function p(x) is represented below. On the same set of axes, sketch the function p(x + 5).
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Question 16
16.
Explain how changing the coefficient from 1 to 3 affects the graph.
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The functions f(x) = x
2
- 6x + 9 and g(x) = f(x) + k are graphed below.
Which value of k would result in the graph g(x)?
0
2
-3
-2
The graph below shows the function f(x).
Which graph represents the function f(x) -2 ?
Which transformation of y = f(x) moves the graph 5 units to the right and 2 unit down?
y = f(x + 5) + 2
y = f(x + 5) - 2
y = f(x - 5) + 2
y = f(x - 5) - 2
The minimum point on the graph of the equation y = f(x) is (-1,-3). What is the minimum point on the graph of the equation y = f(x) + 5?
(-1,2)
(-1,-8)
(4,-3)
(-6,-3)
The functions f(x) and g(x) are drawn below.
Which translation occured for f(x) to transform to g(x)?
g(x) = f(x + 7)
g(x) = f(x - 7)
g(x) = f(x) + 7
g(x) = f(x) - 7
The graph of y = f(x) is shown below.
What is the graph of y = f(x + 1) - 2 ?
Function f(x) = 2x
2
. If g(x) = f(x - 5), how is the graph of f(x) translated to form the graph g(x)?
It shifts right 5
It shifts left 5
It shifts up 5
It shifts down 5
The maximum point on the graph of the equation y = f(x) is (2, -3). What is the maximum point on the graph of the equation y = f(x - 4) ?
(2,-7)
(-2,-3)
(6,-7)
(6,-3)
Which transformation of y = f(x) reflects the graph over the x-axis and makes it more narrow?
y = -f(x)
y = -0.5f(x)
y = -2f(x)
y = 2f(x)
Function f(x) = -2x
2
If g(x) = -f(x), how does the graph of f(x) transform to become g(x)?
It becomes more narrow.
It becomes more wide.
If reflects over the x-axis and gets more narrow.
It reflects over the x-axis.
Which transformation of y = f(x) moves the graph left 3 units and down 7 units?
y = f(x + 3) + 7
y = f(x + 3) - 7
y = f(x - 3) + 7
y = f(x - 3) - 7
The functions f(x) and g(x) are drawn below.
Which translation occured for f(x) to transform to g(x)?
g(x) = f(x + 3) - 5
g(x) = f(x + 3) + 5
g(x) = f(x - 3) + 5
g(x) = f(x - 3) - 5
The graph below shows the function f(x).
Which graph represents the function f(x + 2) ?