Answer:
a) f(x) = 3sin(2x - π/2) + 1
b) f(x) = 2sin(2x + π) + 2
Step-by-step explanation:
∵ f(x) = Asin(Bx - C) + D
Where ΙAΙ is the the amplitude , 2π/ΙBΙ is the period , -C/B is the horizontal shift and D is the vertical shift
a) The amplitude is 3
The period is π
Shift phase: horizontally π/4 to the right , vertically 1 unit up
b) The amplitude is 2
The period is π
Shift phase: horizontally π/2 to the left , vertically 2 unit up
Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr Ss Tt Uu Vv Ww Xx Yy Zz
I know the best answer ever (*says sarcastically*)
Answer:
g(x) is shifted 6 units to the left
Step-by-step explanation:
Lets try to simplify g(x) since has a few extra terms:
g(x)= 3x+12-6=3x+6
Now it is easier to compare the two functions.
We can tell that they both have the same slope, both differs on a extra term
This term tell us that the g(x) is shifted to the left (it is positive 6)
Another approach to the solution is to plot the two functions together by obtaining the crossing points with the 'y' axis and with the 'x' axis
the result is shown in the attached picture
9000000+60000+2000+10+6
Hope this is what you were looking for!!