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Chapter 9 Transformation of Functions
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Parent Functions Translations Stretches Reflections Combinations
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Final Question
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This parent function looks like the letter U.
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This parent function looks like the letter U.
What is y = x^2
This parent function looks like the letter V.
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This parent function looks like the letter V.
What is y = |x|
This parent function is the doubling function.
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This parent function is the doubling function.
What is y = 2^x
This parent function is half a parabola on its side
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This parent function is half a parabola on its side
What is y = square root of x
This parent function is exponential growth with base 10
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This parent function is exponential growth with base 10
What is y = 10^x
Translations affect the graph by...
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Translations affect the graph by...
What is moving left, right, up, or down
The translation vector for y = (x - 2)^3 + 4 is...
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The translation vector for y = (x - 2)^3 + 4 is...
What is (2,4)
The translation vector for y - 9 = | x + 3 | is ...
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The translation vector for y - 9 = | x + 3 | is ...
What is (-3, 9)
The translation vector for y / 5 = sqrt ( (x + 4) / 2 ) ...
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The translation vector for y / 5 = sqrt ( (x + 4) / 2 ) ...
What is (-4,0)
An absolute value function with translation vector (-4,8) is...
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An absolute value function with translation vector (-4,8) is...
What is y - 8 = | x + 4 |
Stretches affect the graph by...
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Stretches affect the graph by...
What is making them taller or wider
The horizontal stretch factor in y/5 = x^2/4 is...
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The horizontal stretch factor in y/5 = x^2/4 is...
What is a = 4
The vertical stretch factor in y/5 = x^2/4 is...
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The vertical stretch factor in y/5 = x^2/4 is...
What is b = 5
The equation with parent function y = log x and horizontal stretch of 3 and vertical stretch of 7 is...
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The equation with parent function y = log x and horizontal stretch of 3 and vertical stretch of 7 is...
What is y/7 = log (x/3)
The hyperbola function (from the parent function sheet) with a vertical stretch of 10 is...
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The hyperbola function (from the parent function sheet) with a vertical stretch of 10 is...
What is y = 10/x
Reflections affect the graph by...
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Reflections affect the graph by...
What is flipping over the x-axis or the y-axis.
The graph of y = - 10 ^ x is a reflection over...
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The graph of y = - 10 ^ x is a reflection over...
What is the x-axis
The graph of y = 10 ^ (-x) is reflection over...
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The graph of y = 10 ^ (-x) is reflection over...
What is the y-axis
The parent function whose reflection over the y-axis looks the same as its reflection over the x-axis is...
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The parent function whose reflection over the y-axis looks the same as its reflection over the x-axis is...
What is y = x^3
The doubling equation becomes the halving equation when it is ...
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The doubling equation becomes the halving equation when it is ...
What is reflected over the y-axis
What P-R-S-T letters stand for...
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What P-R-S-T letters stand for...
What is Parent function, Reflection, Stretch, Translation
Identify P-R-S-T for (y - 3)/4 = (x - 2)^3
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Identify P-R-S-T for (y - 3)/4 = (x - 2)^3
What is P: y = x^3 R: none S: a=1 b=4 T: (2,3)
Identify P-R-S-T for y = -4 | x - 1 | + 2
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Identify P-R-S-T for y = -4 | x - 1 | + 2
What is P: y = |x| R: over x-axis S: a=1 b = 4 T: (1,2)
Identify P-R-S-T for y = 6 sqrt ( -(x - 5)/2) - 10
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Identify P-R-S-T for y = 6 sqrt ( -(x - 5)/2) - 10
What is P: y = sqrt(x) R: over y-axis S: a = 2 b = 6 T: (5,-10)
The new table for y = sqrt (x) when it is reflected over the y-axis, has a vertical stretch of 2, moves left 1 and up 2 is...
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The new table for y = sqrt (x) when it is reflected over the y-axis, has a vertical stretch of 2, moves left 1 and up 2 is...
What is x: -1,-2,-5,-10 y: 2,4,6,8
Create the table and graph for y = -2^( (x - 1)/2) + 2
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Create the table and graph for y = -2^( (x - 1)/2) + 2
(See Graph) What is the exponential equation through (-3,1.75), (-1,1.5), (1,1) (3,0) and (5,-2)




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