Answer
When the x-coordinate of the function is replaced with $cx$, provided $c>1$, then its graph is contracted horizontally.
Work Step by Step
When we multiply x by a constant value greater than one in the function, the value the function earlier obtained at x will now be obtained by a lower value of x.
Consider the function:
$f\left( x \right)=2x$
If we substitute the value of $x$ with $cx$ , it will result in the function $f\left( cx \right)=2\left( cx \right)$. This function will horizontally shrink the function $f\left( x \right)$ when $c>1$.
Each value of that function earlier obtained at x will now be obtained at $\frac{x}{c}$, which is less than x, so the graph will shrink.
To calculate the value of the function $f\left( x \right)$ at $x=cx$, we will substitute $x=cx$ in the function $f\left( x \right)$.
Thus, the point on the graph will change from $\left( x,f\left( x \right) \right)=\left( x,2x \right)$ to the form of $\left( x,f\left( cx \right) \right)=\left( x,2cx \right)$, provided $c>1$.
