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37 Cards in this Set
- Front
- Back
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Vertical Compression
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y = 1/2f(x)
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Vertical Stretch
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y = 2f(x)
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Horizontal Compression
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y = f(2x)
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Horizontal Stretch
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y = f(1/2x)
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Reflection on x-axis
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y = -f(x)
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Reflection on y-axis
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y = f(-x)
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The x value increases by a factor of ___ when graph is horizontally compressed by 3
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1/3
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Vertical translation moves the graph ___ or ____.
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up or down
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A graph is horizontally stretched of the value of b is (>) or (<) 0
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b < 0
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To obtain points on a graph that is reflected on the x axis, you must change the sign of the (y) or (x) coordinate?
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y coordinate
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Can a graph be horizontally compressed and vertical stretched at the same time?
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Yes.
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If the value of a is greater than zero then the graph is _________ (a>0)
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vertically stretched
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If the value of a is less than zero then the graph is ______ (a<0)
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vertically compressed.
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If the value of b is less than zero then the graph is ______ (b<0)
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Horizontally Stretched
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If the value of b is greater than zero then the graph is _________ (b>0)
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Horizontally Compressed
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How do you obtain the points of a graph that is vertically stretched?
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Multiple the y-value by a
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How do you obtain the points of a graph that is horizontally compressed?
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Multiple the x-value by 1/b
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How do you obtain the points of a graph that is horizontally translated?
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Add d to your value
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If a graph is reflected on the y-axis then the coordinates (2,4) would be changed to _____
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(-2,4)
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State the transformation: f(x) = x -4
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vertically translated 4 units down
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State the transformation: f(x) = (x-3)^2
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Horizontally translated 3 units to the right
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State the transformations: y = 3f(2x)
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Vertically stretched by a factor of 3, Horizontally compressed by a factor of 1/2
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State the transformations: y = f(4x)
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Horizontally compressed by a factor of 1/4
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State the transformations: y = f(x+9) - 2
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Vertically translated 2 units down, Horizontally translated 9 units to the left
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State the transformations: g(x) = sin3x
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Horizontally compressed by a factor of 1/3
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How does the second function compare to the first?
1) f(x) = root x 2) f(x) = root (x-3) |
Horizontally translated 3 units to the right.
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How does the second function compare to the first?
1) f(x) = x^2 2) f(x) = 9x^2 |
Vertically stretched by a factor of 9 or horizontally compressed by a factor of 1/3
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Describe what would happen to the graph if:
x was replaced with -2x |
Reflection on the x-axis, horizontally stretched by factor of 1/2
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Describe what would happen to the graph if:
x was replaced with 3x |
Horizontally compressed by a factor of 1/3
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provide examples (quickly):
HORIZONTAL COMPRESSION |
3,5,6,7,84,74566,
►WHOLE NUMBER INFRONT OF X |
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provide examples (quickly):
HORIZONTAL STRETCH |
1/2, 4/5, 6/7, 3/5, 3/8
►FRACTION INFRONT OF X |
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provide examples (quickly):
REFLECTION ON Y-AXIS |
-f(x), -f(34x^2)
►(-) INFRONT OF f |
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provide examples (quickly):
REFLECTION ON X-AXIS |
-x, -x^2
►(-) INFRONT OF x |
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provide examples (quickly):
VERTICAL STRETCH |
2,3,5,6,5,4,7,8,9,999,9,4564,
►WHOLE NUMBER INFRONT OF Y |
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provide examples (quickly):
VERTICAL COMPRESSION |
1/2, 4/5, 6/7, 3/5, 3/8
►FRACTION INFRONT OF Y |
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provide examples (quickly):
VERTICAL TRANSLATION |
x - 3, 34x - 2, 2x - 1
►value not attached to x |
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provide examples (quickly):
HORIZONTAL TRANSLATION |
(x-2), (x-1), (x-6)
►value attached to x |
