To obtain a new graph stretch the graph of a function fx ver

To obtain a new graph, stretch the graph of a function f(x) vertically by a factor of 5. Then shift the new graph 7 units to the right and 8 units up. The result is the graph of a function g(x) = Af(x + B) + C where A, B, C are certain numbers. What are A, B, and C? A =, B =, C =

Solution

Stretch the graph vertically by a factor 5

Af(x) = 5f(x)

Shift the graph to right by 7 units : Af(x+B) = 5f(x+7)

Vertically shift up by 8 units : Af(x+B) +C = 5f(x+7) +8