Question

The point (2,3) is on the graph y=f(x). Determine the corresponding coordinates of this point on the graph y=-2(f(2(x+5)))-4

Answer 1

sure can use some help

Answer 2

To me, I would change a little bit from the notation of the second function to make it easily to follow . Let say A = -2 f(B) - 4
the first function is the parent function which give us 3 = f(2)
now find the relationship between them by finding A respect to f(B) , in this case, find A of f(2)
A = -2f(2) -4 = -2 *3 -4 = -10, So, the new y (which is A) is -10
f(B) = f(2) = f(2(x + 5)
so, 2(x+5) =2 --> x = -4
therefore, in the new function, the image of (2,3) is (-4,-10)

Answer 3

w8 did u just use substitution?