Flashcard 7 - Next Generation Advanced Algebra and Functions Flashcard Set for the ACCUPLACER Test

Linear: \(y = ax\)
Absolute value: \(y = a|x|\)
Quadratic: \(y = ax^2 + bx + c\)
Cubic: \(y = ax^3 + bx^2 + cx + d\)
Exponential: \(y = a^x\)
Logarithmic: \(y = log_a{x}\)
Rational: \(y = \frac{1}{x}\)
Radical: \(y = \sqrt{x}\)
Sinusoidal: \(y = \cos\;x\)
Circle: \(x^2 + y^2 = r^2\)

Recognizing each equation type, both algebraically and graphically, as well as understanding how the constants influence the function’s behavior, and how the function can be shifted horizontally or vertically greatly simplifies the process of learning and applying math concepts to real world scenarios.