Finding the vertex in vertex form by rewriting the equation

The video tutorial covers analyzing a graph using the equation Y = a * X -, H ^2 + K. It guides students through completing the square to find the vertex and determine if it's a maximum or minimum. The tutorial explains graph transformations, including reflection and shifts, and identifies the vertex as an absolute maximum. The session concludes with a discussion on the potential for increased complexity in the topic.

What is the general form of a quadratic equation in vertex form?

• Y = a * (X - H) ^2 + K

• Y = a * X + H ^2 + K

• Y = a * (X + H) ^2 - K

• Y = a * X ^2 + H + K

What is the first step in completing the square for a quadratic equation?

• Rewrite the equation in standard form

• Factor the equation

• Multiply the equation by a constant

• Add a constant to both sides

What shape does the graph of y = X^2 represent?

• An ellipse

• A parabola

• A line

• A circle

How does a negative sign outside the quadratic expression affect the graph?

• It shifts the graph to the left

• It shifts the graph to the right

• It reflects the graph upwards

• It reflects the graph downwards

What is the vertex of the transformed graph discussed in the video?

• (1, 2)

• (2, 1)

• (1, 1)

• (0, 0)