if the minimum point on the graph of the equation y=f(x) is (-1,-3). what is the minimum point on he graph of the equation y=f(x)+5
how would i go about solving this problem ...any help is greatly appreciated!!!!
`y = f(x)+5` is just the same shape as `y=f(x)` except shifted up 5 units since 5 has been added to every y value.
So if the first graph has the point (-1, -3), the second graph will have the point (-1, -3+5) or (-1, 2).
Since the two graphs have the same shape, the x value for f(x)'s minimum is the same x value for (f(x)+5)'s minimum.
Here's an example: The red graph is f(X). The orange graph is f(x)+5.