Understanding Quadratic Equations and Graph Intersections

The video tutorial explains how to solve quadratic equations by isolating terms and finding solutions for x. It demonstrates the process of taking square roots and considering both positive and negative solutions. The tutorial also covers how to determine the x-values where a function's graph intersects the x-axis by setting the function equal to zero and solving for x.

What is the first step in isolating the term x + 3 squared in the equation?

• Multiply both sides by 2

• Divide both sides by 2

• Add 4 to both sides

• Subtract 4 from both sides

When you have something squared equal to 4, what are the possible values of that something?

• Positive or negative 2

• Only positive 2

• Zero

• Only negative 2

If x + 3 equals 2, what is the value of x?

• 3

• -1

• 1

• -3

What must be true for a graph to intersect the x-axis?

• Both x and y coordinates must be zero

• The y-coordinate must be zero

• The x-coordinate must be zero

• The graph must be a straight line

What is the equation to solve for x-values where f(x) equals zero?

• x - 2 squared equals 9

• x + 2 squared equals 0

• x + 2 squared equals 9

• x - 2 squared equals 0

What is the result of adding 9 to both sides of the equation x - 2 squared minus 9 equals 0?

• x + 2 squared equals 0

• x + 2 squared equals 9

• x - 2 squared equals 0

• x - 2 squared equals 9

If x - 2 equals 3, what is the value of x?

• 1

• 5

• 0

• 3

What is the x-value when the point (5, 0) is on the graph?

• 5

• -5

• 0

• 2

What is the x-value when the point (-1, 0) is on the graph?

• -1

• 2

• 1

• 0

What is the result of x - 2 equals negative 3?

• x equals 5

• x equals 1

• x equals -1

• x equals -5