Chapter 8.1, Problem 1E

To determine

To state:The name of a U-shaped graph of a quadratic function

Answer to Problem 1E

Parabola

Explanation of Solution

Given: U-shaped graph of a quadratic function

A quadratic function is generally of the form $y=f(x^2)$ or, $x=f(y^2)$ . This kind of graph is called a parabola.

For example $y=4x^2$ is a U-shaped quadratic function. This graph is called a parabola. Its graph is given by