Sketch basic function graphs and apply transformations step-by-step. Remember that horizontal transformations work in the “opposite” direction of what you might expect. Use the order of …

y = a or f ( x ) = a Graph is a horizontal line passing through the point ( 0,a ) . y = mx + b or f ( ) x = mx + b Graph is a line with point ( 0,b ) and slope m. a > 0 or down if a < 0 and has a vertex …

Identifying Functions using the Vertical Line Test If a graph represents a function, that graph will only intersect with a vertical line one time. Function Notation can be written as: f(x) = 3x+2 this …

Jun 6, 2018 · Trig Cheat Sheet - Here is a set of common trig facts, properties and formulas. A unit circle (completely filled out) is also included. Currently this cheat sheet is 4 pages long. …

Graph is a circle with radius r and center (h; k). a2 b2 Graph is an ellipse with center (h; k) with vertices a units right/left from the center and vertices b units up/down from the center. The …

Parent Functions “Cheat Sheet” 20 September 2016 Function Name Parent Function Graph Characteristics Algebra Constant B : T ; L ? Domain: (∞, ∞) Range: [c, c] Inverse Function: …

Below are the graphs of twelve functions along with domain, range, continuity, increasing/decreasing intervals, symmetry, boundedness, extrema, asymptotes and end …

10 Basic Parent Functions Parent Function Graph Graph = Linear, Odd Domain: (−∞,∞) Range: (−∞,∞) End Behavior: x → − ∞, y → − ∞ x → ∞, y → ∞ Critical points: (−1,−1), (0,0), (1,1) y = …

Functions and Graphs Cheat Sheet What really is a function? Before we can properly define a function, we must first understand mappings. A mapping takes a set of numbers and …

Square Root Graphs General Form, 𝒚=𝒂𝒙−𝒃+𝒄 Key Features: • Start Point: (𝒃,𝒄) • Domain: [𝒃,∞) • Range: [𝒄,∞) 4 Different shapes of square root graphs. Steps to Sketch Square Root Graphs 1. …