I have a problem with translating a parabola after a series of other transformations.
Given the parabola y= (x-2)(x-5) find the turning points. I have done this ( 3.5, -2.25).
Reflect this about a horizontal line passing through its turning point. I have also done this, with the equation now being y= (-x^2 -4.5)+7x -10
1.The function is now translated 4 units to the left.
At this point I am lost as to where I insert the next translations into the equation.
I can hand graph this onto paper but the equation escapes me.
2. The function is now stretched by a factor of 2.
I am also lost at this point.
Any assistance would be appreciated.