Graphing Quadratics in Intercept Form

Rachel explains how to graph quadratic equations in intercept form. She introduces the formula y = a * (x - P) * (x - Q) and provides an example equation. Rachel demonstrates how to find the axis of symmetry using the formula X = (P + Q) / 2 and shows how to plot points on the graph. The tutorial concludes with a recap of the steps involved in graphing quadratics.

What is the general form of a quadratic equation in intercept form?

• y = a * x^2 + bx + c

• y = a * (x - p) * (x - q)

• y = a * (x - p) * (x + q)

• y = a * (x + p) * (x + q)

In the equation y = a * (x + 3) * (x - 1), what is the value of p?

• -1

• 3

• -3

• 1

In the equation y = a * (x + 3) * (x - 1), what is the value of Q?

• 3

• -1

• 1

• -3

How do you calculate the axis of symmetry for a quadratic in intercept form?

• (p + q) / 2

• (p - q) / 2

• p - q

• p + q

What is the axis of symmetry for the equation y = a * (x + 3) * (x - 1)?

• x = 1

• x = -2

• x = -1

• x = 2

What is the next step after finding the axis of symmetry?

• Identify the vertex

• Plot the axis of symmetry

• Find the roots

• Calculate the y-intercept

How do you find the vertex of the quadratic equation?

• By finding the midpoint of p and q

• By substituting the axis of symmetry into the equation

• By setting y to zero

• By finding the average of p and q

What is the y-coordinate of the vertex for the equation y = a * (x + 3) * (x - 1) when x = -1?

• -2

• 2

• -8

• 8

Which points are used to complete the quadratic graph?

• The vertex and the axis of symmetry

• The vertex and additional points on either side

• The vertex and the roots

• The vertex and the y-intercept

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

• It is the lowest point on the graph

• It is where the graph intersects the y-axis

• It divides the graph into two symmetrical halves

• It is the highest point on the graph