SOLUTION: Find the equation for the transformed function of the parent function f(x)=x^3 which has been reflected in the x-axis vertically stretched by a factor of 2, translated 5 units to t

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Question 1161244: Find the equation for the transformed function of the parent function f(x)=x^3 which has been reflected in the x-axis vertically stretched by a factor of 2, translated 5 units to the left and 3 units down.
Found 2 solutions by Edwin McCravy, solver91311:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
f(x)=x³
reflected in the x-axis
Multiply whole right side by -1:

y = -x³
vertically stretched by a factor of 2,
Multiply right side by 2

y = -2x³
translated 5 units to the left
Replace x by (x+5)

y = -2(x+5)³
and 3 units down.
Add -3 to the right side:

y = -2(x+5)³-3   <--answer

Edwin
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!




The minus sign on the lead coefficient reflects the graph in the x-axis.

The lead coefficient of 2 stretches the graph vertically by a factor of 2.

The +5 inside the parentheses translates the graph 5 units left.

The -3 constant translates the graph 3 units down.


John

My calculator said it, I believe it, that settles it
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