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How to find A, W, K in analytic formula y=Asin(wx+k) by trigonometric function in senior one mathematics?
Trigonometric function image translation transformation

pass by

y

=

commit a crime

x

Image conversion

y

=

Evil (

ω

x

+

?

)

Generally, there are two imaging methods.

Only by distinguishing these two.

Flexible method of image transformation.

When using image transformation to make an image, it is advocated to translate first and then expand and contract, but it often happens that expand and contract first and then translate.

Anyway,

Deformation, please remember, every deformation is always in the letter.

x

Generally speaking, it depends on the image transformation.

How much the "variable" has changed, not

What is the "angle change"

Path 1: Translation transformation first and then periodic transformation.

(

Telescopic transformation

)

first

y

=

commit a crime

x

The image of the left

(

?

>

0)

Or to the right.

(

?

0)

, then.

y

=

Evil (

ω

x

+

?

)

The image of.

Path 2: periodic transformation first.

(

Telescopic transformation

)

Then translate and transform.

first

y

=

commit a crime

x

The abscissa of each point on the image becomes the origin.

?

1

double;twofold

(

ω

>

0)

, and then along

x

Axial left side

(

?

>

0)

Or to the right.

(

?