The quadratic function f(x)= -1/2(x+3)^2+1. The point (1,1) in the graph of y=x^2 is transformed to which point on the graph of y= -1/2(x+3)^2+1?

Question

***SHOW ALL OF YOUR WORK!!!!!

A. (-2,1/2)
B. (-2,3/2)
C. (-2,-1)
D. (5/2,2)

Answer 1

to get from y=x^2 to y= -1/2(x+3)^2+1
reflect across the x-axis, scale by 1/2 in the y-direction, shift left 3, shift up 1.
(1,1) -> (1,-1) -> (1,-1/2) -> (-2,-1/2) -> (-2,1/2)