Finding the Vertex of a Parabola: Techniques and Examples

This video tutorial explains how to find the vertex of a parabola from a quadratic equation in three forms: standard, vertex, and factored. It provides step-by-step methods for each form, including calculations and examples. The video also compares different methods for finding the vertex and offers tips for simplifying the process.

What is the formula to find the x-coordinate of the vertex in standard form?

• -2a/b

• -b/2a

• b/2a

• 2a/b

Given the quadratic equation y = x^2 - 4x + 3, what is the x-coordinate of the vertex?

• 1

• 2

• 3

• 4

For the equation y = -2x^2 + 8x - 5, what is the y-coordinate of the vertex?

• 11

• 7

• 5

• 3

In the equation y = 4x^2 - 12x, what is the x-coordinate of the vertex?

• 2.5

• 2

• 1.5

• 3

What is the vertex of the equation y = 2x^2 - 9?

• (0, -9)

• (3, -9)

• (1, -9)

• (2, -9)

In vertex form, y = a(x - h)^2 + k, what does the vertex represent?

• (a, k)

• (h, k)

• (k, h)

• (a, h)

Given y = 3(x - 2)^2 + 4, what is the vertex?

• (2, 4)

• (-2, 4)

• (2, -4)

• (-2, -4)

How do you find the x-coordinate of the vertex in factored form?

• Divide the x-intercepts

• Subtract the x-intercepts

• Multiply the x-intercepts

• Add the x-intercepts and divide by 2

For the equation y = -2(x - 2)(x - 5), what is the x-coordinate of the vertex?

• 4

• 2.5

• 3

• 3.5

Which method is generally easier for finding the vertex in factored form?

• Using the midpoint of x-intercepts

• Graphing the equation

• Converting to standard form

• Using the quadratic formula