Algebra I Review

Front

What is a vertical translation in a graph?

Back

A vertical translation moves the graph up or down without changing its shape. For example, a vertical translation up by 2 units shifts every point on the graph 2 units higher.

Front

What is a horizontal translation in a graph?

Back

A horizontal translation moves the graph left or right. For example, a horizontal translation right by 1 unit shifts every point on the graph 1 unit to the right.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if each x-value has exactly one corresponding y-value. This can be checked using the vertical line test.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, f(0)).

Front

Given f(x) = -4x - 10, how do you find f(x) when f(x) = 10?

Back

Set -4x - 10 = 10, solve for x: -4x = 20, x = -5.

Front

What does the term 'initial value' refer to in a function?

Back

The initial value is the y-intercept of the function, indicating the value of the function when x = 0.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much y changes for a unit change in x.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).