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The graph of a parabola y = (x-5)^2 is to be stretched on the y axis with a dilation of...

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kristenmarieb... | Student, Grade 10 | Valedictorian

Posted June 5, 2013 at 5:33 PM via web

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The graph of a parabola y = (x-5)^2 is to be stretched on the y axis with a dilation of 3, and reflected across the x axis. 

What would the equation be for the transformation graph?

Enter "y=" as part of your answer.

 

 

Tagged with algebra2, math

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted June 5, 2013 at 5:51 PM (Answer #1)

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The problem provides the information that the parabola is stretched in y direction by 3, hence, you need to multiply the whole function by the constant 3, such that:

y = 3*(x - 5)^2

The function provides the information that the parabola is reflected about x axis, hence, you need to multiply the function by -1, such that:

y = -3*(x - 5)^2

Hence, performing the required transformations to the original function y = (x-5)^2 yields the function y = -3*(x - 5)^2 (red parabola) , such that:

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