Graphing a quadratic with a negative fraction as a in vertex form

The video tutorial covers the basics of standard form, focusing on understanding variables and graph transformations. It explains how to choose values for graphing and provides a step-by-step guide to plotting and analyzing a quadratic graph. The tutorial emphasizes the importance of understanding the vertex, axis of symmetry, and the effects of transformations on the graph's shape.

What is the role of the parameter 'K' in the standard form of a quadratic equation?

• It is always equal to 1.

• It determines the horizontal shift.

• It affects the vertical stretch.

• It is not present in the standard form.

How does a negative 'a' value affect the graph of a quadratic equation?

• It shifts the graph to the right.

• It reflects the graph over the X-axis.

• It stretches the graph vertically.

• It compresses the graph horizontally.

What is the vertex of the quadratic equation in the given example?

• (0, 0)

• (1, 0)

• (0, 1)

• (1, 1)

Why is it important to choose values close to the axis of symmetry when graphing?

• To ensure the graph is centered.

• To make calculations easier.

• To accurately represent the shape of the graph.

• To avoid using negative numbers.

What is the recommended number of values to choose for graphing a quadratic equation?

• One value

• Four values

• Three values

• Two values

How is the value of -8/3 represented on the graph?

• As a point between 2 and 3

• As a point on the Y-axis

• As a point on the X-axis

• As a point between -2 and -3

What happens to the graph when you reflect points over the axis of symmetry?

• The graph mirrors itself on the other side.

• The graph remains unchanged.

• The graph shifts upwards.

• The graph becomes wider.