SOLUTION: Hi, I was hoping you can help me on this, 4. Write an equation for the graph of y=x^2 that has been vertically expanded by a factor of 4, horizontally compressed by a factor o

Algebra ->  Trigonometry-basics -> SOLUTION: Hi, I was hoping you can help me on this, 4. Write an equation for the graph of y=x^2 that has been vertically expanded by a factor of 4, horizontally compressed by a factor o      Log On


   



Question 204473: Hi, I was hoping you can help me on this,
4. Write an equation for the graph of y=x^2 that has been vertically expanded by a factor of 4, horizontally compressed by a factor of 1/5 , reflected across the y-axis, translated 3 units to the right, and up 4 units.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for the graph of
y=x^2 that has been
vertically expanded by a factor of 4: y = (1/4)x^2
-----
horizontally compressed by a factor of 1/5 : y = (5/4)x^2
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reflected across the y-axis: y = -(5/4)x^2
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translated 3 units to the right: y = -(5/4)(x-3)^2
------------------
and up 4 units: y = -(5/4)(x-3)^2 + 4
-----------------------
Comment: Your "vertically expanded" and "horizontally compressed"
are ambiguous terms.
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Cheers,
Stan H.