Graphing Quadratics in Vertex Form

This video tutorial covers graphing quadratic equations in vertex form. It begins with an introduction to vertex form and its advantages, such as easily identifying the vertex and axis of symmetry. The tutorial outlines steps for graphing, including identifying key components like a, h, and k, and plotting the axis of symmetry and vertex. An example problem is provided to demonstrate the process, followed by instructions on plotting additional points using symmetry. The video concludes with tips on connecting points to form a smooth parabola.

What is the main difference between graphing quadratic equations in vertex form and standard form?

• The process is completely different.

• The starting equation is different.

• Vertex form does not involve graphing.

• Standard form is easier to graph.

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

• The slope and y-intercept.

• The coefficients of x and y.

• The axis of symmetry.

• The vertex coordinates.

What is the equation for the axis of symmetry in vertex form?

• y = a

• y = k

• x = h

• x = k

What is the first step in graphing a quadratic equation in vertex form?

• Making a table of values.

• Plotting the vertex.

• Identifying a, h, and k.

• Drawing the axis of symmetry.

When identifying the h value in vertex form, what should you remember?

• It is always positive.

• It is the opposite of the number inside the parentheses.

• It is the same as the number inside the parentheses.

• It is always zero.

What is the next step after identifying a, h, and k in the graphing process?

• Making a table of values.

• Drawing the axis of symmetry.

• Finding the y-intercept.

• Plotting the vertex.

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

• (-5, 3)

• (5, -3)

• (3, -5)

• (-3, 5)

How do you determine the other points on the graph after plotting the vertex?

• By guessing.

• By using the axis of symmetry.

• By using the y-intercept.

• By using the x-intercept.

What is the purpose of making a table of values when graphing a quadratic equation?

• To find the x-intercept.

• To find additional points on the graph.

• To find the y-intercept.

• To determine the slope.

What should the graph of a quadratic equation look like?

• A zigzag line.

• A U-shaped curve.

• A circle.

• A straight line.