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Hyperbola Graphs

"Graphing a transformed hyperbola combines the skills of graphing hyperbolas and graphing transformations. With hyperbola graphs, we use the formula a^2 + b^2 = c^2 to determine the foci and y= + or - ...

Graphs of Motion

"The two most commonly used graphs of motion are velocity (distance v. time) and acceleration (velocity v. time). In each case, time is shown on the x-axis. The graph of velocity is a curve while the ...

Graphing Transformations

"There are many different transformations, and graphing transformations is different depending on what type it is. One of the most basic types of transformations is y = a·f(x) + b. Graphing transforma ...

Graphing Transformation

"There are different types of graphing transformation, one of which is subtraction a constant from the independent variable. This type of graphing transformation can be written as y = f(x - h). For th ...

Step Functions

"Some functions are not easily written as a formula. On a graph, a step function looks like a flight of stairs. The graphs of step functions have lines with an open circle on one end and a closed circ ...

Graphing Lines

"When first introduced to graphing lines, we often use a table of values to plot points and connect them. There are several other methods of graphing lines, including using a point and the slope. Some ...

Finding the Slope of a Line

"If given a line and its graph, we can find the slope easily and quickly. Finding the slope of a line from a graph is one of the simplest ways to calculate slope. One must remember when finding the sl ...

Slope

"One of the most important things to understand about lines is the slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in t ...

Shifts in Absolute Value Graphs

"Once we learn about absolute value graphing, we can use shifts in absolute value graphs to more easily graph new absolute value equations. We can use specific rules for the addition of constants with ...

Domain and Range

"An important part of understanding functions is understanding their domain and range. Domain and range are all the possible x-values and y-values of the function, and can often be described easily by ...

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