Finding X-Intercepts of Parabolas

The video tutorial explains how to find the x-intercepts of a parabola given by the equation y = x^2 - 2x - 15. The process involves setting y to zero and solving the resulting quadratic equation by factoring. The tutorial guides through the steps of factoring the equation, solving for x, and writing the x-intercepts as coordinate pairs. It emphasizes the importance of correctly pairing x and y values in the final answer.

What is the first step in finding the x-intercepts of a parabola?

• Set x to zero and solve for y

• Set y to zero and solve for x

• Find the vertex of the parabola

• Use the quadratic formula

When finding x-intercepts, why do we set y to zero?

• To find where the parabola crosses the x-axis

• To determine the slope of the parabola

• To calculate the y-intercept

• To find the maximum point of the parabola

What method is used to solve the quadratic equation in this tutorial?

• Completing the square

• Using the quadratic formula

• Graphing the equation

• Factoring the equation

Which pair of numbers correctly factors the equation x^2 - 2x - 15?

• (x - 3)(x + 5)

• (x + 5)(x - 3)

• (x + 3)(x - 5)

• (x - 5)(x + 3)

What are the solutions for x in the equation x^2 - 2x - 15 = 0?

• x = -3 and x = 5

• x = -5 and x = 3

• x = 5 and x = 3

• x = 3 and x = -5

How many x-intercepts can a parabola have?

• One

• Three

• Two

• None

What is the correct way to write the x-intercepts of a parabola?

• As a single number

• As ordered pairs with x and y values

• As a fraction

• As a pair of numbers without parentheses

Why is it incorrect to write the x-intercepts as -3, 5?

• Because they should be written as fractions

• Because they should be written as ordered pairs

• Because they should be written as a single number

• Because they should be written as decimals

What is the x-intercept when x = -3?

• (0, 3)

• (-3, 0)

• (0, -3)

• (3, 0)

What is the x-intercept when x = 5?

• (5, 0)

• (0, 5)

• (0, -5)

• (-5, 0)