Question 987414
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{{{y=a*bx}}} Use values (-1,3/2)
{{{3/2=ab^-1}}}
{{{3/2=a/b}}}
{{{3b/2=a}}} Use this for to substitute for a and (1,6)
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{{{y=a*b^x}}}
{{{6=3b/2*b^1}}}
{{{6=3b^2/2}}}
{{{12=3b^2}}}
{{{4=b^2}}}
{{{2=b}}}
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{{{a=3b/2}}} Put in value for b.
{{{a=(3*2)/2}}}
{{{a=6/2}}}
{{{a=3}}} Use a=3 and b=2 in original equation
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ANSWER: y=3*2^x
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{{{ graph( 800, 800, -10, 10, -10, 10, 3*2^x) }}}