Consider the function . First you need to simplify it by expressing the perfect square:
So you get .
Now you can consider all transformations that have been applied to the graph of to produce the graph of g(x):
- translate the graph of the function
right 10 units - this transformation gives you the graph of the function
;
- reflect graph of the function
about the x-axis. This transformation gives you the graph of the function
;
- stretch the graph of the function
in the y-direction by multiplying the whole function by 5, then you get the function
;
- translate the graph of the function
up 50 units, then you get the graph of the function
.
From the algorithm above you can conclude that choices B, E and F are correct.