Learn how to find the solutions x intercepts and vertex of a quadratic in vertex form ex 7

The video tutorial explains how to find the X intercepts and vertex of a quadratic equation in vertex form. It begins by identifying the vertex, then moves on to finding the X intercepts by substituting zero for Y and solving using the square root method. The tutorial also discusses the concept of complex numbers when dealing with negative square roots, leading to solutions involving imaginary numbers.

What is the vertex of the quadratic equation y = 4 * (X + 1)^2 + 36?

• (-1, -36)

• (1, -36)

• (1, 36)

• (-1, 36)

What is the first step in finding the X-intercepts of the equation y = 4 * (X + 1)^2 + 36?

• Subtract 36 from both sides

• Add 36 to both sides

• Divide both sides by 4

• Multiply both sides by 4

After dividing by 4, what equation do we get when finding the X-intercepts?

• X + 1 = -9

• X + 1 = -36

• X + 1 = 9

• X + 1 = 36

What is the result of taking the square root of both sides of the equation -9 = (X + 1)^2?

• ±3

• ±9i

• ±3i

• ±9

What are the solutions for X when considering complex numbers in the equation y = 4 * (X + 1)^2 + 36?

• X = 1 ± 3

• X = -1 ± 3

• X = 1 ± 3i

• X = -1 ± 3i