Now, we can plot these points and connect them with a straight line to have the graph of f(x).
Graph of h(x)
Let's recall the definition of a vertical stretch and shrink. The graph of a function can be vertically stretched or shrunk by multiplying the function rule by some factor a > 0.
Original & Stretched/Shrunk
Function & Function
y=f(x) & y= a* f(x)
A value of a less than 1 represents a vertical shrink of the original function. Conversely, when a is "greater than" 1, the function is vertically stretched. We can see that h is written in the form y= af(x).
h(x)= 3f(x)
In this case, a is 3. Since 3>1, h(x) is a vertical stretch from f by a factor of 3. Let's multiply the outputs of f by 3 to find the outputs of h.
