How do you graph $y=-3*2^(x+2)$ ?

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Answer 1 · 2017-07-20T09:09:36

$y$ has the standard graph of $2^x$ scaled by $-12$

$y=-3*2^(x+2)$

Since $2^(x+2)>0 forall x in RR -> y<0 forall x in RR$

In other words, $y$ is always negative.

Now let's consider some other criteria of $y$

$lim_(x->-oo) y =0$

$lim_(x-> +oo) y = -oo$

$y(0) = -3* 2^2 = -12$

$y = -3xx2^2 * 2^x = -12*2^x$

$y$ has the standard graph of $2^x$ scaled by $-12$

The graph of $y$ is shown below.

graph{-3*2^(x+2) [-36.3, 36.8, -29.95, 6.53]}

How do you graph y=-3*2^(x+2)y=-3*2^(x+2)?