Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the basics of linear and quadratic models, including their equations and graphing techniques. It explains how to determine whether a set of points forms a linear or quadratic model by analyzing the graph's shape. The tutorial also demonstrates using a calculator to find equations for both linear and quadratic models, including linear and quadratic regression for making predictions. Practical examples are provided to illustrate these concepts, such as predicting the value of a computer over time and the height of a coin thrown from a height.

What is the standard form of a linear equation?

• y = a(x - h)^2 + k

• y = ax^3 + bx^2 + cx + d

• y = mx + b

• y = ax^2 + bx + c

Which form is used to write a quadratic equation?

• y = ax^3 + bx^2 + cx + d

• y = a(x - h)^2 + k

• y = ax^2 + bx + c

• y = mx + b

How do you determine if a set of points forms a linear model?

• By checking if the points form a straight line

• By checking if the points form a parabola

• By checking if the points form a circle

• By checking if the points form a hyperbola

What is the slope-intercept form of the equation for the line passing through the points (-2, -7) and (0, -3)?

• y = 2x - 3

• y = -3x + 2

• y = 3x - 2

• y = -2x + 3

Which calculator function is used to find the equation of a quadratic model?

• Linear regression

• Quadratic regression

• Cubic regression

• Exponential regression

What is the quadratic equation for the points (-3, 2), (-2, -1), (-1, -2), (0, -1), and (1, 2)?

• y = -x^2 + 2x - 1

• y = x^2 + 2x - 1

• y = -x^2 - 2x + 1

• y = x^2 - 2x + 1

What is the equation of the quadratic model for the points (1, -5), (2, -2), (3, -1), (4, -2), and (5, -5)?

• y = -x^2 - 6x + 10

• y = x^2 - 6x + 10

• y = x^2 + 6x - 10

• y = -x^2 + 6x - 10

How do you find the line of best fit for a set of data points?

• By using quadratic regression

• By using linear regression

• By using cubic regression

• By using exponential regression

What is the predicted value of a computer in 2008 if the line of best fit is y = -78.8x + 800?

• $90.80

• $100.80

• $110.80

• $120.80

What is the height of a coin after 7 seconds if the quadratic equation is y = -16x^2 + 78x + 305?

• 67 feet

• 77 feet

• 87 feet

• 97 feet