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.
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: