What would the point be

Question

Suppose that the point P(3, - 4) is on the graph of a function f(x) . Determine the corresponding point on the graph of the given function.

y = 2f * (x - 7) + 2

Answer 1

Zam, Given the transformations in y=2f(x-7)+2, we know that x moves right 7, so x becomes (x+7). The 2 in front of the f means that the function value, or y value, doubles, and the +2 at the end means the whole thing moves up two. So y becomes (2y+2).

From any (x,y), the transformation puts us at (x+7, 2y+2), so (3,-4) moves to (10, -6).

I hope that helps, and let me know if you still have a question!

Happy mathing!

Liz Z.