Using the graph of f(x)=x^2 as a guide, describe the transformations, and then graph each function.h(x)= -1/2x^2 +2I can graph, I just need the rest.
Accepted Solution
A:
multiplying the whole function by -1 reflects the function across the x axis so f(x) to -f(x) would be a reflection across the x axis
multiplying the whole function by a fraction is a vertical transformation, if you multiply by a value x, such that 0<x<1, then it is a vertical shrink, if x>1, then it is a vertical stretch so like f(x) to 2f(x) is a vertical stretch by a factor of 2
adding a value to the whole function moves it up by that number
ok
so [tex]f(x)=(-1)(\frac{1}{2})(x^2)+2[/tex] we have multiplied the whole thing by -1 and 1/2 and then added 2 to the whole function
that is a reflection across the x axis, a vertical shrink by a factor of 1/2, and translated up by 2 units in that order