Chapter 3.3, Problem 6AYU

The vertical line passing through the vertex of a parabola is called the ________________.

To determine

To fill: The blank of the given statement “The vertical line passing through the vertex of a parabola is called the ______.”

Answer to Problem 6AYU

“The vertical line passing through the vertex of a parabola is called the $axisofsymmetry.$”

Explanation of Solution

Given:

The given statement is

“The vertical line passing through the vertex of a parabola is called the ______.”

The standard form of a quadratic equation is $f(x)=a{\left(x-h\right)}^2+k$, whose graph is a parabola with vertex at $(h,k)$ and the axis of symmetry at the vertical line $x=h.$

A parabola is always symmetric about its axis.