Question: linear line equation

Answer: y=mx+b

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Question: vertical translation ex. 1 -> y =Ix+2I, whats the translation

Answer: up 2 units

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Question: vertical translation ex. 2 -> y=Ix-5I, whats the translation

Answer: down 5 units

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Question: horizontal translation ex. 1 -> y=Ix+3I, what the translation

Answer: left 3 units

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Question: horizontal translation ex. 2 -> y=Ix-7I, whats the translation

Answer: right 7 units

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Question: write a function g after a translation 6 down and 5 right

Answer: g(x)=Ix-5I-6

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Question: reflection -> reflection over the y-axis

Answer: y= -IxI <- negative sign outside of parentheses/absolute value

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Question: reflection -> reflection over the x-axis

Answer: y=I-xI <- negative sign outside of parentheses/absolute value (the reflection should look the exact same)

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Question: vertical stretch -> twice as big (y-coordinates double)

Answer: y=2IxI <- number outside of parentheses/absolute value

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Question: vertical shrink -> 1/3 the size

Answer: y=1/3IxI <- number outside of parentheses/absolute value

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Question: horizontal shrink -> horizontal shrink factor 1/3

Answer: y=I3xI <- number inside of parentheses/absolute value

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Question: horizontal stretch -> horizontal stretch factor of 2

Answer: y=I1/2xI <- number inside of parentheses/absolute value

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Question: ex. 1 f(x)=Ix-1I+2, write a function g whose graph is horizontally stretched by a factor of 5

Answer: g(x)=I1/5x-1I+2

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Question: ex. 2 f(x)=Ix-1I+2, write a function g whose graph is vertically shrunk by a factor of 1/4

Answer: g(x)=1/4Ix-1I+2

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Question: ex. 3 f(x)=IxI, write function g after translation of 2 units left and then a vertical stretch factor of 5

Answer: g(x)=5IxI+2

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