What do I have to know know to graph a quadratic in vertex form

The video tutorial explains how to graph a quadratic equation in vertex form. It begins by introducing vertex form and comparing it with standard form. The process of converting from standard to vertex form using completing the square is discussed. The tutorial then covers how to identify the vertex in both forms and how to plot the graph using a table and the axis of symmetry. Finally, it explains how the value of 'a' affects the direction of the graph.

What is the primary purpose of completing the square when dealing with quadratic equations?

• To determine the axis of symmetry

• To simplify the equation

• To convert the equation into vertex form

• To find the roots of the equation

In vertex form, what do the variables H and K represent?

• The y-intercepts of the graph

• The vertex of the parabola

• The x-intercepts of the graph

• The coefficients of the quadratic term

How do you find the vertex of a quadratic equation in standard form?

• By identifying the coefficients directly

• By using the quadratic formula

• By using the formula -B/2A

• By completing the square

What is the significance of the axis of symmetry in a quadratic graph?

• It determines the maximum value of the graph

• It divides the graph into two symmetrical halves

• It indicates the direction of the graph

• It helps in finding the y-intercept

What happens to the graph of a quadratic equation when the value of 'a' is less than zero?

• The graph opens downwards

• The graph does not change

• The graph becomes a straight line

• The graph opens upwards