Understanding Parabolas and Their Properties

The video tutorial explains how to find the x-coordinate of the vertex of a parabola given in factored form. It starts by identifying the x-intercepts and using them to find the axis of symmetry, which is the x-coordinate of the vertex. The tutorial also demonstrates alternative methods to calculate the vertex using the formula x = -B/2A, providing a comprehensive understanding of the topic.

What is the quickest way to find the x-coordinate of the vertex when given a parabola in factored form?

• By completing the square

• By finding the y-intercept

• By using the quadratic formula

• By finding the x-intercepts

Where does the vertex of a parabola lie in relation to its x-intercepts?

• At the y-intercept

• At the midpoint of the x-intercepts

• At the origin

• At the maximum point

How can you calculate the x-coordinate of the vertex using the x-intercepts?

• By dividing the x-intercepts by two

• By adding the x-intercepts and dividing by two

• By subtracting the x-intercepts

• By multiplying the x-intercepts

What is the result of adding -2 and 5, then dividing by 2?

• 2.5

• 1

• 1.5

• 2

What is the formula used to find the x-coordinate of the vertex in the standard form of a quadratic equation?

• x = -B/(2A)

• x = -A/(2B)

• x = A/(2B)

• x = B/(2A)

In the equation G(x) = x^2 - 3x - 10, what are the values of A and B?

• A = 3, B = -1

• A = -3, B = 1

• A = -1, B = 3

• A = 1, B = -3