Pre-Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling

when transformations involve horizontal translations

       Moving trig functions upward or downward with vertical translations

What to Watch Out For

      When graphing trigonometric functions, some challenges will include

       Not misreading the period of the trig function when a transformation involves a fraction

       Drawing enough full cycles of the curve to show its characteristics properly

       Marking the axes appropriately for the situation

       Making use of intercepts when they’re helpful in a graph

Recognizing Basic Trig Graphs

       461–465 Determine which trig function equation matches the graph.

      461.

      Illustration by Thomson Digital

      (A)

      (B)

      (C)

      (D)

(E)

      462.

      Illustration by Thomson Digital

      (A)

      (B)

      (C)

      (D)

      (E)

      463.

      Illustration by Thomson Digital

      (A)

      (B)

      (C)

      (D)

      (E)

      464.

      Illustration by Thomson Digital

      (A)

      (B)

      (C)

      (D)

      (E)

      465.

      Illustration by Thomson Digital

      (A)

      (B)

      (C)

      (D)

(E)

Graphing Sine and Cosine

       466–470 Sketch the graph of the function.

      466.

      467.

      468.

      469.

      470.

Applying Function Transformations to Graphs of Trig Functions

       471–475 Describe the transformation from function f to function g.

      471. to

      472. to

      473. to

      474. to

      475. to