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 horizontal stretch and shrink. By multiplying the input of a function by a factor a > 0, its graph can be horizontally stretched or shrunk by a factor of 1 a from the original function.
Original & Stretched/Shrunk
Function & Function
y=f(x) & y=f( a* x)
A value of a less than 1 represents a horizontal stretch of the original function. Conversely, when a is "greater than" 1, the function is horizontally shrunk. We can see that h is written in the form y=f( a* x).
h(x)=f( 6* x)
In this case, a is 6. Since 6>1, h(x) is a vertical shrink from f by a factor of 1 6. Let's take some values for x, then evaluate f in 6x to get h.
