Chapter 1.7, Problem 76E

(a)

To determine

To find: The preferred method form the graphing function.

Answer to Problem 76E

The preferred method to plot the function is by plot the point method.

Explanation of Solution

Given:

The given function is $f\left(x\right)=3x^2-4x+1$

Calculation:

Consider the given function is,

  $f\left(x\right)=3x^2-4x+1$

To plot the above graph the above graph have to be tabulated for different value of $x$ .

The points are plotted and then they are joined.

(b)

To determine

To find: The preferred method form the graphing function.

Answer to Problem 76E

The preferred way to plot the graph is by translating the parent function.

Explanation of Solution

Given:

The given function is $f\left(x\right)=2{\left(x-1\right)}^2-6$

Calculation:

Consider the given function is,

  $f\left(x\right)=2{\left(x-1\right)}^2-6$

The above function has the parent function $y=x^2$ .

The first step is to shift the function 1 unit to the right and then multiplying the graph by

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

The next step is to shift the graph 6 units down as,

  $h\left(x\right)=2{\left(x-1\right)}^2-6$

Thus, the preferred way to plot the graph is by translating the parent function.