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• ### How to Graph the Inverse of a Function

If you’re asked to graph the inverse of a function, you can do so by remembering one fact: a function and its inve...

In Calculus

• ### How to Reflect a Function’s Graph

Reflections take a parent function and provide a mirror image of it over either a horizontal or vertical line. You’...

In Calculus

• ### How to Translate a Function’s Graph

When you move a graph horizontally or vertically, this is called a translation. In other words, every point on the paren...

In Calculus

• ### How to Vertically Transform Parent Graphs

When you apply a vertical transformation to a parent graph, you are stretching or shrinking the graph along the y–...

In Calculus

• ### How to Break Down a Composition of Functions

A composition of functions is one function acting upon another. Think of it like putting one function inside of the othe...

In Calculus

• ### How to Horizontally Transform Parent Graphs

When you apply a horizontal transformation to a parent graph, you are stretching or shrinking the graph horizontally, al...

In Calculus

• ### How to Invert a Function to Find Its Inverse

If you’re given a function and must find its inverse, first remind yourself that domain and range swap places in t...

In Calculus

• ### How to Calculate an Angle Using Inverse Trigonomet

Almost every function has an inverse. An inverse function basically undoes a function. The trigonometric functions sine,...

In Calculus

• ### How to Calculate an Angle Using Reciprocal Trigono

Three trigonometric ratios — secant, cosecant, and cotangent — are called reciprocal functions because they&...

In Calculus

• ### How to Determine the Length of an Arc

Knowing how to calculate the circumference of a circle and, in turn, the length of an arc — a portion of the circu...

In Calculus