Posted by **lisa** on Saturday, March 9, 2013 at 5:06pm.

describe the transformation of y=8^x+2 from the graph of y=8^x then state the asymptote and domain and range.

- math -
**Reiny**, Saturday, March 9, 2013 at 8:15pm
The graph of y = 8^x , which is an exponential curve, has simply been moved up vertically 2 units to get

y = 8^x + 2

there is a horizontal asymptote of y = 2 as x ---> -∞

There are no other asymptotes, since the curve continues to rise faster and faster as x --> +∞

There is a y-intercept of (0,3), but no x-intercept

domain: any value of x

range: y > 2

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