Graphing nonlinear functions, Study notes of Mathematics

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Graphing Nonlinear Functions Now that we are familiar with the parent functions and their shapes, we will learn how to graph them without having to create a /-table of values every time. f(x)+k Notice that & is “outside” the function. This indicates a vertical shift of & units. 4) a sketch for each function: J (x we +3 4" (x)= )=vx-5 vp> Sauven 4 + : Melani¢. Deg ado 410 (02% i a 2 his “inside” the function. This means that we will have a_horizontal shift of A units. [Note that there is a negative in this form. To correctly identify h, we must do the opposite of what we see.] Draw a sketch for each function: There is an acronym to help us remember what does what. IHOD-OVER I-Inside O-Outside H-Horizontal V-Vertical O-Opposite E-Exact D-Domain R-Range