Linear and Quadratic Functions Concepts

This lesson covers linear and nonlinear graphs, focusing on linear equations with negative and positive slopes, and quadratic equations forming parabolas. It explains the concepts of negative and positive correlation, constant rate of change, and the symmetry in quadratic graphs. The lesson also introduces the standard forms of linear and quadratic equations.

What are the two main types of graphs discussed in this lesson?

• Bar and Pie graphs

• Linear and Nonlinear graphs

• Histogram and Line graphs

• Scatter and Bubble graphs

What is another name for a decreasing linear pattern?

• Undefined slope

• Negative slope

• Zero slope

• Positive slope

In a negative slope, what happens to one variable as the other increases?

• It remains constant

• It increases

• It decreases

• It becomes undefined

What does a negative slope indicate about the direction of a line?

• The line is horizontal

• The line is going uphill

• The line is going downhill

• The line is vertical

What is the relationship between variables in a negative correlation?

• Both increase together

• Both remain constant

• One decreases, the other remains constant

• One increases, the other decreases

What is the correlation called when both variables increase together?

• Inverse correlation

• Positive correlation

• Negative correlation

• Zero correlation

What is the equation form for a linear graph?

• y = ax + b^2

• y = ax^2 + bx + c

• y = mx + b

• y = a/x

What does a positive slope indicate about the direction of a line?

• The line is going downhill

• The line is horizontal

• The line is vertical

• The line is going uphill

What is the relationship between variables in a positive correlation?

• One increases, the other decreases

• One decreases, the other remains constant

• Both increase together

• Both remain constant

What is the term for the rate of change in a linear graph?

• Exponential rate

• Logarithmic rate

• Constant rate

• Variable rate