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The functionf(x) is multiplied by a factor of 2 and then 3 is added to the function.

f(x)=sin(x)

What effect does this have on the graph of the function?

A) The graph is vertically stretched by a factor of 2 and shifted up 3 units.

B)The graph is vertically stretched by a factor of 3 and shifted up 2 units.

C)The graph is vertically compressed by a factor of 3 and shifted up 2 units.

D)The graph is vertically compressed by a factor of 2 and shifted up 3 units.

Wouldnt it be D ? Since it would turn into f(x)sin (2x) +3 ?

question 2

The graph of  f(x)=sin(x)  is transformed to a new function, g(x) , by stretching it vertically by a factor of 2 and shifting it 3 units up.

What is the equation of the new function  g(x) ?

g(x)=  2 sin (x) + 3 ? i think

Jan 24, 2019

#1
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sinx      multiply by 2  = 2 sinx

2 sinx      add   3    =   2 sin x   + 3       the amplitude changes from 1 to 2  and it is shifted up 3 units  Answer   A

sin x        stetch it vertically by 2    =    2 sin x     then add 3      2 sin x   + 3       (both questions same function)

Jan 24, 2019
#2
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I see that now it would be A ! Thank you so much jjennylove  Jan 24, 2019