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

jjennylove Jan 24, 2019

#1**+2 **

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)

ElectricPavlov Jan 24, 2019