How to verify if a point lies on a graph using vertex form of a quadratic

The video tutorial explains how to identify and verify the vertex of a quadratic equation in vertex form. It begins by emphasizing the importance of recognizing the vertex and confirms its position on the graph. The tutorial then demonstrates how to algebraically prove the vertex's location by substituting the vertex coordinates into the equation and following the order of operations. The process ensures that the equation holds true, confirming the vertex's position on the graph.

What should you immediately identify when you see an equation in vertex form?

• The axis of symmetry

• The vertex

• The y-intercept

• The slope of the line

In the given example, what is the vertex of the equation?

• (5, -1)

• (-1, 5)

• (1, -5)

• (0, 0)

What is the first step in algebraically verifying that a point lies on the graph?

• Calculate the slope

• Find the derivative

• Substitute the point into the equation

• Graph the equation

Which operation should be performed first when verifying the point algebraically?

• Division

• Subtraction inside parentheses

• Addition

• Multiplication

What conclusion can be drawn if the equation holds true after substitution?

• The point does not lie on the graph

• The point is the y-intercept

• The point lies on the graph

• The point is the axis of symmetry