Let f be a function such that f(−5) = 3, f(0) = −5, and f(4) = 0 when y=f(x+4).

Question

Let f be a function such that 

f(−5) = 3, f(0) = −5, and f(4) = 0.

 Give the coordinates of three points on the graph of each of the following when you have y = f(x + 4). 

 

 

Answer 1

y=f(x+4);

f(-5)=3, so when x+4=-5, x=-9 and y=3 fixing (-9,3);

f(0)=-5, so when x+4=0, x=-4 and y=-5 fixing (-4,-5);

f(4)=0, so when x=0, y=0 fixing (0,0).

The three points are (0,0), (-4,-5), (-9,3).