Chapter 13, Problem 19CR

To determine

To graph: $y=2x-3$

Explanation of Solution

  

Interpretation: Let $f(x)=2x$

i.e. $f(x)=2x$ passes through origin and passing through $(1,2)$

If the graph of $y=f\left(x\right)$ is shifted vertically downward by $c$ unit,where $c>0$ then the equation of the transformed graph will be $g\left(x\right)=2x-3\Rightarrow f(x)-c$

  $g\left(x\right)=2x-3\Rightarrow f(x)-c$ Here

Therefore the graph will shift vertically by 3 units