1 / 6

14-2 Translations and Reflections (day 2)

14-2 Translations and Reflections (day 2). What have we learned so far about Trig. Functions?. For graphs of y = asin ( bx ), and y = acos ( bx ) :. For the graph of y = atan ( bx ):. We will now move the graph! (up/down, or side-to-side). General Forms:

danica
Download Presentation

14-2 Translations and Reflections (day 2)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 14-2 Translations and Reflections (day 2)

  2. What have we learned so far about Trig. Functions? For graphs of y = asin(bx), and y = acos(bx) : For the graph of y = atan (bx):

  3. We will now move the graph!(up/down, or side-to-side) General Forms: y = asin b(x-h)+k, y = acos b(x-h)+k : Vertical Shift (up/down): k Horizontal Shift (side-to-side): h *Goes in the opposite direction of what you think!

  4. Ex 1: Graph the function. The easiest way to graph is to graph the points you know, then shift those points. Start by labeling what you’re given. a = 1 b = 2 3 k = 2 brings the graph up 2 units. - 3

  5. Ex 2: Graph the function. 3 a = 3 b = ½ - 3 k = -4 brings the graph down 4 units. - 7 The negative (-) in front of the 3 flips the cosine graph upside down.

  6. Ex 3: Graph the function y = - ¼ tan π(x-1) a = ¼ b = π h = -4 brings the graph to the right 1 unit ¼ The negative (-) in front of the ¼ flips the graph upside down. - ¼

More Related