Causation and Linear Functions

The video tutorial covers key Algebra 1 concepts for the EOC exam. It begins with an explanation of causation, using examples to illustrate the concept. The tutorial then moves on to solving a system of linear equations by finding the equations of lines H and J. Next, it discusses graph transformations, specifically how adding or subtracting a number affects the graph's position. The video also includes a section on factoring quadratic expressions and concludes with identifying the equation of a linear function from a graph.

What does causation imply in a given situation?

• One event is unrelated to another.

• One event causes another to happen.

• Two events happen simultaneously.

• Two events are inversely related.

Which of the following situations shows causation?

• More rain increases car sales.

• More people on a bus increases zoo animals.

• Higher temperatures increase ice cream sales.

• Less work hours decrease earnings.

What is the slope of line J if the y-intercept is 1 and the slope is -5/4?

• -4/5

• 4/5

• -5/4

• 5/4

What is the equation of line J given the slope is -5/4 and y-intercept is 1?

• y = -4/5x + 1

• y = -5/4x + 1

• y = 4/5x + 1

• y = 5/4x + 1

How is the graph of f(x) = x^2 transformed to create n(x) = x^2 - 1?

• Shifted left by 1 unit

• Shifted up by 1 unit

• Shifted right by 1 unit

• Shifted down by 1 unit

What type of transformation occurs when a number is subtracted from a function?

• Horizontal shift right

• Vertical shift down

• Horizontal shift left

• Vertical shift up

Which of the following is a correct interpretation of a vertical shift?

• It reflects the graph over the x-axis.

• It moves the graph up or down.

• It moves the graph left or right.

• It changes the slope of the graph.

What is the effect of adding a constant to a function?

• It reflects the graph.

• It shifts the graph horizontally.

• It shifts the graph vertically.

• It changes the slope.

What is the result of subtracting a constant from a function?

• Vertical shift down

• Vertical shift up

• Horizontal shift left

• Horizontal shift right

Which of the following represents a vertical shift down?

• Dividing the function by a constant

• Adding a constant to the function

• Subtracting a constant from the function

• Multiplying the function by a constant