Quadratic Equations and Their Properties

This video tutorial reviews graphing quadratics in intercept form. It explains how to find X-intercepts by setting factors to zero, plot these intercepts on a graph, and determine their coordinates. The tutorial then covers finding the axis of symmetry, which is the line that makes the quadratic symmetric, and calculating the vertex using this axis. The vertex is found by substituting the axis of symmetry's x-value into the equation to find the y-value. Finally, the video demonstrates how to connect the points to form a parabola.

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

• y = a(x - p)(x - q)

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

• y = ax + b

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

• Find the vertex

• Find the Y-intercept

• Find the X-intercepts

• Find the axis of symmetry

How do you find the X-intercepts of a quadratic in intercept form?

• Find the midpoint of the intercepts

• Use the quadratic formula

• Set each factor to zero and solve for x

• Set the equation to zero and solve for y

If one factor is (x + 2), what is the X-intercept?

• x = 0

• x = -2

• x = 1

• x = 2

What are the coordinates of the X-intercept found from the factor (x + 6)?

• (0, 6)

• (-6, 0)

• (6, 0)

• (0, -6)

What is the next step after plotting the X-intercepts?

• Calculate the slope

• Find the axis of symmetry

• Draw the parabola

• Find the Y-intercept

How is the axis of symmetry related to the X-intercepts?

• It is the difference of the X-intercepts

• It is the sum of the X-intercepts

• It is unrelated to the X-intercepts

• It is the average of the X-intercepts

What is the equation form for the axis of symmetry?

• y = mx + b

• x = a

• x = c

• x = b

If the X-intercepts are -2 and -6, what is the axis of symmetry?

• x = -4

• x = -3

• x = -8

• x = 0

What is the relationship between the axis of symmetry and the vertex?

• The vertex is unrelated to the axis of symmetry

• The vertex is always below the axis of symmetry

• The vertex is always above the axis of symmetry

• The vertex is always on the axis of symmetry