Combination = Reflections, Shifts and Dilations
Analyze:
If you have a dilation or reflection with a translation » Factor it!
example: y= square root of -2x this equation would reflect over y-axis and a hor. comp by 1/2
y= square root of 2x + 6 this equation would have to be factored out making it y= square root of 2(x + 3) with a hor. comp. by 1/2 and it would be shifted to the left by 3
note: do stretches/ reflection first then do slides (translations)
List the transformation:
y= 1/2f(-3(x + 1)) -4 Vertical: comp by 1/2 and down 4 Horizontal: reflecting over the y-axis. comp by 1/3, left 1
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