Learn to graph a horizontal parabola

The video tutorial covers graphing a problem by rewriting it in standard form, identifying the vertex, and understanding the axis of symmetry. It explains how to determine the graph's opening direction based on the value of A, and how to calculate the focus and directrix. The tutorial concludes with plotting the graph and using a table of values to identify additional points.

What is the standard form of the equation used in the video?

• Y = A * (y - K)^2 + H

• X = A * (x - H)^2 + K

• X = A * (y - K)^2 + H

• Y = A * (x - H)^2 + K

How do you determine the direction in which the graph opens?

• By finding the value of H

• By identifying the axis of symmetry

• By checking if A is greater than or less than zero

• By calculating the vertex

What is the formula for calculating the focus of the graph?

• H + 1 / (4 * A), K

• H - 1 / (4 * A), K

• K + 1 / (4 * A), H

• K - 1 / (4 * A), H

What is the formula for the directrix of the graph?

• X = H + 1 / (4 * A)

• X = H - 1 / (4 * A)

• Y = K + 1 / (4 * A)

• Y = K - 1 / (4 * A)

How can you plot additional points on the graph?

• By drawing a line through the focus

• By estimating based on the vertex

• By using the directrix as a guide

• By using a table of values and plugging them into the equation

What role does the axis of symmetry play in graphing?

• It helps in finding the vertex

• It determines the direction of the graph

• It is used to calculate the focus

• It allows for plotting symmetric points

What is the significance of the vertex in graphing?

• It is the midpoint of the directrix

• It is the point where the graph changes direction

• It is the starting point for plotting

• It is the highest point of the graph