How to graph a parabola when given an equation in vertex form

The video tutorial explains how to graph quadratic equations using vertex form. It covers identifying the vertex, understanding graph transformations, and using a table of values to plot points. The tutorial emphasizes that if the 'a' value does not compress or stretch the graph, the relationship between the vertex and other points remains consistent, simplifying the graphing process.

What is the vertex of the equation y = a * (x - 3)^2 + 2?

• (3, -2)

• (-3, 2)

• (3, 2)

• (-3, -2)

How does the graph of y = a * (x - 3)^2 + 2 shift from the origin?

• 3 units left and 2 units up

• 3 units right and 2 units down

• 3 units right and 2 units up

• 3 units left and 2 units down

What is the purpose of using a table of values when graphing?

• To calculate the slope

• To determine the axis of symmetry

• To find the vertex

• To plot additional points on the graph

If the value of 'a' is 1, how does it affect the graph of the parabola?

• It stretches the graph

• It compresses the graph

• It does not affect the graph

• It reflects the graph

What pattern does the parabola follow from the vertex when 'a' is 1?

• Over 1, up 2

• Over 1, up 1

• Over 2, up 2

• Over 2, up 1