Chapter 4.7, Problem 52HP

To determine

To explain: how the graph of $y=x^2$ can be used to make any quadratic graph.

Answer to Problem 52HP

All graph can be made by using $y=a{\left(x-h\right)}^2+k$ .

Explanation of Solution

Given information:

The equation of parabola is $y=x^2$ .

Formula:

We will use the value of $a,h,k$ .

Calculation:

Consider the equation of parabola is $y=x^2$ .

Recall that we will use the value of $a,h,k$ from $y=a{\left(x-h\right)}^2+k$ .

Therefore the value of $a,h,k$ we will substitute in the above equation then we will get the graph.