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Kneel down! ! This paper analyzes the trigonometric function in high school mathematics. Sinx is converted into 4s in (4x+5). Why does the sine function turn left first?
Y=sinx is converted into y=4sin(4x+5).

(1) Translate first and then expand and contract.

Y=sinx, that is, shift the abscissa to the left by 5 to get y=sin(x+5), and then compress the abscissa to a quarter of y=sin(4x+5). Finally, if the ordinate is four times, you can get y=4sin(4x+5). This process treats 4x as a whole.

(2) First expand and then translate.

Y=sinx First, compress the abscissa to a quarter of y=sin4x, then translate it to the left by 1.25 units, y=sin4(x+ 1.25)=sin(4x+5), and finally quadruple the ordinate to get y=4sin(4x+5).

Remember, translation is translation on X, so it is not necessary to extract (2) X to make its coefficient 1, and the coefficient of X in (1) is 1.

Hope to adopt! ! ! ! !