Summary for graphing a quadratic in vertex form

This video tutorial covers graphing quadratic equations in vertex form. It begins with an introduction and course overview, followed by an explanation of the vertex form and its components. The instructor outlines the steps for graphing quadratics, including identifying the vertex, determining the graph's opening direction, and plotting the axis of symmetry. Common mistakes, such as incorrect vertex identification, are discussed, along with tips to avoid them. The tutorial concludes with a demonstration of reflecting points over the axis of symmetry and a course summary.

What is the vertex form of a quadratic equation?

• Y = AX^2 + K

• Y = A(X + H)^2 - K

• Y = A(X - H)^2 + K

• Y = AX^2 + BX + C

How do you determine if a quadratic graph opens upwards?

• If A is less than zero

• If A is equal to zero

• If A is greater than zero

• If A is not equal to zero

What is the axis of symmetry for a quadratic in vertex form?

• Y = H

• X = K

• X = H

• Y = K

Why is it important to reflect points over the axis of symmetry?

• To check if the graph is a parabola

• To maintain the symmetry of the quadratic graph

• To ensure the graph is a straight line

• To verify the graph is a circle

What is a common mistake students make when identifying the vertex?

• Confusing the vertex with the axis of symmetry

• Using the wrong formula for the vertex

• Incorrectly identifying the opposite of H

• Forgetting to plot the vertex

How can you find the Y value when plotting points?

• By using the axis of symmetry

• By using the Y-intercept

• By using the X value in the equation

• By guessing the value

What should you do if you have X + 3 in the vertex form?

• Rewrite it as X - 3

• Rewrite it as X - (-3)

• Rewrite it as X + (-3)

• Rewrite it as X + 3