Understanding Ordered Pairs and Quadratic Equations

The video tutorial explains how to determine if ordered pairs satisfy the equation y = x^2 - 5x + 4. It involves substituting x and y values from ordered pairs into the equation and checking if the equation holds true. The tutorial covers several examples, showing which pairs are solutions and which are not. Additionally, it demonstrates how to verify solutions graphically by plotting the equation and checking if the points lie on the graph.

What is the first step to determine if an ordered pair is a solution to the equation y = x^2 - 5x + 4?

• Graph the equation

• Solve for y

• Substitute the x and y values into the equation

• Solve for x

What is the result of substituting x = -3 and y = 28 into the equation y = x^2 - 5x + 4?

• 28 = 30

• 28 = 24

• 28 = 28

• 28 = 26

Which ordered pair was verified as a solution after substituting x = 3 and y = -2?

• (1, 0)

• (3, -2)

• (2, -3)

• (0, 6)

What was the outcome when substituting x = 0 and y = 6 into the equation?

• 6 = 6

• 6 = 4

• 6 = 8

• 6 = 10

What is the result of substituting x = 1 and y = 0 into the equation y = x^2 - 5x + 4?

• 0 = -2

• 0 = 4

• 0 = 2

• 0 = 0

Which ordered pair was not a solution after substituting x = 2 and y = -3?

• (1, 0)

• (2, -3)

• (0, 6)

• (3, -2)

How can you graphically verify if an ordered pair is a solution to the equation?

• Check if the point is above the graph

• Check if the point is to the left of the graph

• Check if the point lies on the graph of the equation

• Check if the point is below the graph

Which points were found to be on the graph of the equation?

• (0, 6), (2, -3)

• (1, 0), (2, -3)

• (3, -2), (0, 6)

• (-3, 28), (1, 0), (3, -2)

What does it mean if an ordered pair is not on the graph of the equation?

• It is a solution

• It is not a solution

• It is a minimum point

• It is a maximum point

Which ordered pairs were not solutions to the equation?

• (3, -2) and (1, 0)

• (0, 6) and (3, -2)

• (-3, 28) and (1, 0)

• (0, 6) and (2, -3)