Graphing a quadratic function in vertex form with multiple transformations

The video tutorial explains how to graph a quadratic equation in vertex form, focusing on understanding the roles of parameters A, H, and K. It covers how these parameters affect the graph's dilation, reflection, and shifts. The tutorial provides a step-by-step example of shifting a graph 5 units left and 5 units up, and concludes with completing the graph using a consistent pattern from the vertex.

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

• Identify the x-intercepts

• Find the axis of symmetry

• Understand the parent graph and transformations

• Calculate the y-intercept

How does a negative value of A affect the graph of a quadratic?

• It reflects the graph over the X-axis

• It stretches the graph vertically

• It compresses the graph horizontally

• It shifts the graph to the right

If H is -5 in the vertex form equation, what transformation occurs?

• Shift 5 units to the right

• Shift 5 units to the left

• Shift 5 units down

• Shift 5 units up

What is the vertex of the graph if the original vertex is at (0,0) and the graph is shifted 5 units left and 5 units up?

• (-5, 5)

• (5, 5)

• (-5, -5)

• (5, -5)

What pattern is used to plot additional points from the vertex in a quadratic graph?

• Left 1 up 1, right 1 up 1

• Left 2 up 4, right 2 up 4

• Left 1 up 2, right 1 up 2

• Left 2 up 3, right 2 up 3