Graphing a quadratic function in vertex form with multiple transformations

The video tutorial explains how to graph equations using vertex form, focusing on identifying the axis of symmetry and vertex without graphing. It covers transformations, including reflections and shifts, and how these affect the graph's position. The tutorial also discusses finding intercepts and sketching the graph, emphasizing the impact of horizontal compression and negative direction on the graph's shape.

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

• X = 0

• X = 7

• X = -8

• X = -7

How does a negative 'A' value in the vertex form affect the graph?

• It reflects the graph over the X-axis.

• It shifts the graph to the right.

• It compresses the graph horizontally.

• It shifts the graph upwards.

What happens to the vertex when the graph is shifted 7 units left and 8 units down?

• The vertex moves to (7,8).

• The vertex remains at (0,0).

• The vertex moves to (-8,-7).

• The vertex moves to (-7,-8).

Why might the X-intercepts not be visible on the graph?

• The graph is shifted too far right.

• The graph is reflected over the Y-axis.

• The graph is horizontally compressed.

• The graph is shifted too far up.

How can the shape of the graph be described after applying the transformations?

• It is a straight line.

• It is a circle.

• It is a narrow parabola.

• It is a wide parabola.