Sketch the graphs of y=3x and y=log3x on the same Cartesian plane. Use these graphs to plot the graphs of:
y=3x−1+3 and y=log3(x+1)−3 . Specify the domains, ranges, and asymptotes. @satellite73

Question

Sketch the graphs of y=3x and y=log3x on the same Cartesian plane. Use these graphs to plot the graphs of:
y=3x−1+3 and y=log3(x+1)−3 . Specify the domains, ranges, and asymptotes. @satellite73

anonymous · Answer

does it really say $y=3x−1+3 $ ??

anonymous · Answer

oooh i bet it is like this
$$y=3^x$$ and 
$$y=3^{x-1}+3$$ right?

anonymous · Answer

yes

anonymous · Answer

sorry about that

anonymous · Answer

also its y=logsmall3x

anonymous · Answer

here is a picture of $y=3^x$ http://www.wolframalpha.com/input/?i=3^x+domain+-2..4

anonymous · Answer

$$y=3^{x-1}+3$$ will be shifted right 1 unit, up 3 http://www.wolframalpha.com/input/?i=3^x+%2C+3^%28x-1%29%2B3domain+-2..4

anonymous · Answer

okay and how about the other two ?@satellite73

anonymous · Answer

my guess is it is $\log_3(x)$ which is the inverse of $3^x$

anonymous · Answer

yesss

anonymous · Answer

ignore the stuff to the left of the $y$ axis, it should look something like this|dw:1388342395955:dw|

anonymous · Answer

and I should draw all this on the same grid right ? @satellite73

anonymous · Answer

click on "real valued plot" and you will see a better picture http://www.wolframalpha.com/input/?i=log_3%28x%29+domain+-2..4

anonymous · Answer

$$y=\log_3(x+1)−3$$ looks the same, but shifted left 1 unit, down two units

anonymous · Answer

okay thanksss @satellite73 one last this same Cartesian plane means the same graph right ??

anonymous · Answer

yes, it means an $x,y$ coordinate system, aka a graph

anonymous · Answer

ok