Question

"Trigonometric Models" (50 POINTS)
Is my graph right?

Answer 1

Absolutely correct,
`y = ^(2sin(2x)-3)`

Explanation:

Calculate the following:

• amplitude
• period
• phase shift
• vertical shift

1. a = 2

2. b = 2

3. c = 0

4. d = -3

AMPLITUDE (A) = 2

PERIOD WITH EXPLANATION:

• 2π/b

1. = 2π/2 = π

VERTICAL SHIFT - d = -3

CONCLUSION:

if we plot the graph,

the graph obtained will be same as the given graph.

Answer 2

Yes, this graph is absolutely right for the function y =
`2\sin(2x)-3`.

Explanation:

firstly we will calculate amplitude, period, phase shift, and vertical shift.

Use the standard form
`a\sin(bx-c)+d` to calculate the values of amplitude, period, phase shift, vertical shift.

here a = 2

b = 2

c = 0

d = -3

Amplitude = |a| = 2

period =
`(2\pi)/(|b|)`

=
`(2\pi)/(2)` =
`\pi`

phase shift =
`(c)/(b)` = 0

and vertical shift = d = -3

so, by using this information, if we plot the graph then the graph obtained will be same as the given graph.