# 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...

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.

*print*Print*list*Cite

Expert Answers

sciencesolve | Certified Educator

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: