Linear and Quadratic Functions

This video tutorial demonstrates how to create tables of values from equations and graph them. It covers linear equations, showing how to calculate first differences and understand slopes. The tutorial also explains quadratic equations, highlighting the concept of parabolas and second differences. The video concludes with a summary of the techniques and encourages viewers to support the channel.

What is the first step in creating a table of values from an equation?

• Graph the equation directly.

• Find the Y values by inputting X values.

• Calculate the slope of the equation.

• Determine the second differences.

For the equation y = 3x + 1, what is the Y value when X is -1?

• 3

• 1

• 0

• -2

What is the Y value for X = 0 in the equation y = 3x + 1?

• 2

• 3

• 1

• 0

What is the Y value for X = 1 in the equation y = 3x + 1?

• 4

• 3

• 5

• 6

What is the Y value for X = 2 in the equation y = 3x + 1?

• 8

• 6

• 5

• 7

What is the Y value for X = 3 in the equation y = 3x + 1?

• 8

• 9

• 10

• 11

What do the first differences in a linear equation represent?

• The X-intercept of the graph.

• The Y-intercept of the graph.

• The slope of the line.

• The curvature of the graph.

What is the significance of the first differences in a linear equation?

• They determine the Y-intercept.

• They indicate the slope.

• They are irrelevant.

• They show the curvature.

What is the first difference between Y values for X = 0 and X = 1 in y = 3x + 1?

• 2

• 3

• 1

• 4

What is the first difference between Y values for X = 1 and X = 2 in y = 3x + 1?

• 4

• 1

• 2

• 3