SOLUTION: If the function y=x^2 is dilated in the x direction by a factor of 5, dilated in the y direction by a factor of 2, translated 3 to the right and translated 4 up, then type its equa

Question 1118148: If the function y=x^2 is dilated in the x direction by a factor of 5, dilated in the y direction by a factor of 2, translated 3 to the right and translated 4 up, then type its equation.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The original function is .

(1) dilated in the x direction by a factor of 5: replace x with x/5:

(2) dilated in the y direction by a factor of 2: replace y with y/2: , or

(3) translated 3 to the right: replace x with x-3:

(4) translated 4 up: add 4 to y:

A graph:

red: basic function
green: dilated by a factor of 5 in the x direction (red, 1/5 as steep)
blue: dilated by a factor of 2 in the y direction (green, 2 times as steep)
purple: translated 3 to the right (blue, moved right 3)
yellow: translated 4 up (purple, moved up 4)

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