Question

Find a and d for the function f(x) =asin +d such that the graph of f(x) matches the graph below.

Answer 1

d =1 and a =-2

Answer 2

\[f(x) =asin(x) +d\]To find d, make x=0, and look at what f(x) is (the height).
a is the amplitude, how high it would peak at if the sine curve started at the origin (or, more generally, half of the difference is height from its peak to its trough).

Answer 3

f(0) =1 a sin (0) +d =1

Answer 4

a (0) + d = 1
d=1

Answer 5

a sin pi/2 + 1 =-1

a sin pi/2 =-2
-------- ---
sin pi/2 sin pi/2

(on the left side sin pi/2) cancel

a = -2/1=-2

a=-2

f(x) =-2sin x+1

Answer 6

Correct answer- you can always use http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiItMnNpbih4KSsxIiwiY29sb3IiOiIjMDAwMDAwIn0seyJ0eXBlIjoxMDAwLCJ3aW5kb3ciOlsiLTMuOTg1MzE3NjM1MzM4MjMxIiwiNC4zMzQ2ODIzNjQ2NjE3NTUiLCItMS41NjEyMzcxMTA3MjI1NTY3IiwiMy41NTg3NjI4ODkyNzc0MzQ2Il19XQ-- to check

Answer 7

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