Partner Unit 4 wrap up

Front

What is a horizontal translation of a graph?

Back

A horizontal translation shifts the graph left or right along the x-axis. For example, if a graph is translated 4 units left, the new graph will be represented as f(x + 4).

Front

What is a vertical translation of a graph?

Back

A vertical translation shifts the graph up or down along the y-axis. For example, if a graph is translated 4 units up, the new graph will be represented as f(x) + 4.

Front

What does it mean for a graph to be stretched vertically?

Back

A vertical stretch occurs when the y-values of a graph are multiplied by a factor greater than 1, making the graph taller. For example, if f(x) is stretched by a factor of 2, the new graph is represented as 2f(x).

Front

What does it mean for a graph to be reflected?

Back

A reflection flips the graph over a specific axis. For example, reflecting over the x-axis changes f(x) to -f(x).

Front

How do you find the equation of a line parallel to a given line?

Back

To find a parallel line, use the same slope as the given line and apply the point-slope form of the equation: y - y1 = m(x - x1).

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the formula for the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is a vertical stretch by a factor of k?

Back

A vertical stretch by a factor of k (where k > 1) multiplies the y-values of the function by k, making the graph taller.