Describe the Transformation
What happens to the input and output with the following?
2f(x)
Input: Nothing
Output: Multiplied by 2
Give the final points after the transformation:
p: (-2, 8)
q: (0, 0)
2f(x)
p: (-2, 16)
q: (0, 0)
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2f(x)
Give an equation that could describe the transformation of the points:
P: (0, 0) -> (2, 6)
Q: (2, 5) -> (4, 11)
f(x-2)+6
What happens to the input and output with the following?
f(-x)
Input: Multiplies by -1
Output: Nothing
Give the final points after the transformation:
p: (-2, 8)
q: (0, 0)
f(x+6)-2
p: (-8, 6)
q: (-6, -2)
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f(x-5)-4
Give an equation that could describe the transformation of the points:
P: (0, 0) -> (-2, 0)
Q: (2, 5) -> (0, -5)
-f(x+2)
What happens to the input and output with the following?
f(x+6)-7
Input: Subtract 6 from all input values
Output: Subtract 7 from all output values
Give the final points after the transformation:
p: (-2, 8)
q: (0, 0)
-.5f(x-5)
p: (3, -4)
q: (5, 0)
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f(-x)
Give an equation that could describe the transformation of the points:
P: (0, 0) -> (0, 0)
Q: (2, 5) -> (-1, 10)
2f(-2x)
What happens to the input and output with the following?
.5f(.5(x))+4
Input: Double in value
Output: Multiplied by .5 and add 4
Give the final points after the transformation:
p: (-2, 8)
q: (0, 0)
-f(-x - 6) + 8
p: (-4, 0)
q: (-6, 8)
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-f(-x)
Give an equation that could describe the transformation of the points:
P: (0, 0) -> (4, 3)
Q: (2, 5) -> (0, 18)
3f(-.5(x-4)) + 3
What happens to the input and output with the following?
-5f(-3(x+1))+3.5
Input: Add 3 and divide by -3
Output: Multiply by -5 and add 3.5
Give the final points after the transformation:
p: (-2, 8)
q: (0, 0)
-.3f(.4(x + 2)) - 6
p: (-7, -8.4)
q: (-2, -6)
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2f(-2(x-3))-3
Give an equation that could describe the transformation of the points:
P: (0, 0) -> (-1, -9)
Q: (2, 5) -> (9, -11.5)
-.5f(.2(x + 1)) - 9