Question

In the following exercises, graph each function using a horizontal shift.

$f\left(x\right)={(x-1)}^2$

Short answer

The graph of the function $f\left(x\right)={(x-1)}^2$by using horizontal shift is:

Step-by-step solution

Step 1. Given

The function$f\left(x\right)={(x-1)}^2$

To graph the function

Step 2. Draw the graph of f(x)=x2

Sketch the graph $f\left(x\right)=x^2$

Step 3. Determine h

Determine the value of $h$

$f\left(x\right)={(x-1)}^2$

The value of $h$is$1$

Step 4. Sketch the graph of given function

Shift the graph $f\left(x\right)=x^2$right to $1$ units.