Identify the x intercepts and vertex of an equation in vertex form ex 6, y=(x-4)^2 -4

The video tutorial explains how to determine the vertex and X intercepts of a quadratic equation in vertex form. It covers identifying the vertex using the formula y = a * (X - H)^2 + K, where the vertex is (H, K). The tutorial also demonstrates finding the X intercepts by solving the equation when it equals zero, using the square root method and inverse operations. The process involves isolating the squared term, applying the square root, and considering both positive and negative solutions. The tutorial concludes with a recap of the steps to find the vertex and X intercepts.

What is the vertex form of a quadratic equation?

• y = a(x - h)^2 + k

• y = ax^2 - bx + c

• y = ax^2 + bx + c

• y = a(x + h)^2 - k

In the vertex form y = a(x - h)^2 + k, what does the vertex represent?

• The midpoint of the graph

• The point where the graph intersects the Y-axis

• The highest or lowest point on the graph

• The point where the graph intersects the X-axis

What are X-intercepts also known as?

• Coefficients

• Vertices

• Roots

• Constants

Which method is used to solve for X-intercepts in vertex form?

• Factoring

• Square root method

• Completing the square

• Graphing

When solving for X-intercepts, why must both positive and negative values be considered?

• To account for all possible solutions

• To ensure the equation is balanced

• To simplify the equation

• To find the vertex