Axis of Symmetry and Vertex of Parabolas

This video tutorial explains how to find the vertex and axis of symmetry of a parabola from quadratic functions in standard, vertex, and factored forms, as well as from graphs. It covers the mathematical formulas and methods used to determine these features and provides examples for each form. The video also includes a derivation of the axis of symmetry formula and encourages viewers to practice the concepts discussed.

What is the vertex of a parabola that opens upward?

• The starting point

• The midpoint

• The lowest point

• The highest point

How do you find the axis of symmetry for a quadratic function in standard form?

• X = 2B / A

• X = B / 2A

• X = A / 2B

• X = 2A / B

In vertex form, what is the vertex of the quadratic function y = a(x-h)^2 + k?

• (k, h)

• (-h, k)

• (-k, h)

• (h, k)

What is the axis of symmetry for a quadratic function in vertex form?

• x = k

• x = -k

• x = h

• x = -h

How do you find the axis of symmetry for a quadratic function in factored form?

• By finding the average of the x-intercepts

• By finding the sum of the x-intercepts

• By finding the difference of the x-intercepts

• By finding the product of the x-intercepts

What is the vertex of a parabola if the x-intercepts are -1 and 5?

• (3, 18)

• (2, -18)

• (3, -18)

• (2, 18)

How do you determine the vertex from a graph of a parabola?

• By finding the midpoint of the parabola

• By identifying the highest or lowest point

• By finding the intersection with the y-axis

• By finding the intersection with the x-axis

What is the axis of symmetry for a parabola with vertex at (2, -5)?

• x = 2

• x = -5

• y = 2

• y = -5

What is the vertex of a parabola that opens downward with the highest point at (-1, 4)?

• (1, 4)

• (-1, 4)

• (-1, -4)

• (1, -4)

What is the formula for the axis of symmetry derived from the quadratic formula?

• -b / 2a

• -2a / b

• b / 2a

• 2a / b