Graphing a quadratic function in vertex form with multiple transformations

The video tutorial explains how to graph a quadratic equation in vertex form. It covers identifying the vertex, axis of symmetry, and intercepts. The instructor demonstrates how to sketch the graph by reflecting and stretching it based on the equation's parameters. The tutorial also highlights the importance of understanding the role of A, H, and K in the equation.

What is the vertex of the equation y = -1/4(x + 2)^2 + 1?

• (1, -2)

• (2, -1)

• (-2, 1)

• (-1, 2)

How does the negative value of A affect the graph of the equation?

• It shifts the graph to the right.

• It shifts the graph upwards.

• It reflects the graph over the x-axis.

• It makes the graph narrower.

What happens to the graph when the absolute value of A is less than 1?

• The graph shifts upwards.

• The graph shifts downwards.

• The graph becomes narrower.

• The graph becomes wider.

Where does the graph intersect the y-axis?

• (-4, 0)

• (0, 1)

• (0, 0)

• (-2, 0)

What are the x-intercepts of the graph?

• (0, 0) and (-4, 0)

• (0, 0) and (4, 0)

• (2, 0) and (4, 0)

• (-2, 0) and (2, 0)