Chapter 9.8, Problem 29HP

To determine

To calculate: To describe the relationship between the different representations of quadratic functions.

Explanation of Solution

Given information: A quadratic function

Calculation:

Quadratic equations have below representations:

1. Standard form:

  $y=a{x}^2+bx+c$

2. Factored form:

  $y=\left(x-a\right)\left(x-b\right)$

3. Vertex form:

  $y=a{\left(x+b\right)}^2+c$