If the point P is on the graph of a function y fx find the c

If the point P is on the graph of a function y= f(x), find the corresponding point on the graphs of the given function:

Solution

since a=1/4 is less than 1 so it will stretch graph horizontally then new value of x=3*4=12

3 times will change y that is -9 to three times which is 3*(-9)=-27

-3 means reflect over x-axis so new y is 27

now +15 will shift graph 15 unit above fo new y is 27+15= 42

hence point P(3,-9) changes to (12,42)