Nimo

Study smarter with Nimo

Personalised revision that adapts to you. Ace your revision with unlimited practice questions that are designed to help you learn faster. We're slowly rolling out to more and more students.

Try Nimo

Transforming reciprocal, exponential, and trigonometric graphs

Algebra • Graphs

Key concepts

What you'll likely be quizzed about

  • Reciprocal graphs are defined by the function y = 1/x.
  • These graphs exhibit vertical and horizontal asymptotes, which are straight lines that the graph approaches but never intersects.
  • The graph has two distinct branches: one in the first quadrant and another in the third quadrant.
  • Understanding the key features such as asymptotes helps in determining the behavior of the graph at extreme values.

Flashcards

Test your knowledge with interactive flashcards

What transformation occurs in the sine function when it is reflected across the x-axis?

Click to reveal answer

The reflection across the x-axis turns the sine function into -sin(x), reversing its values.

Key notes

Important points to keep in mind

Reciprocal graphs have two branches along axes.

Exponential curves grow rapidly based on their base.

Trigonometric functions are periodic and oscillate.

Built with v0