Write an equation of the function.?
2019-06-19 4:19 pm
An exponential function with a base of 1/2 has been compressed vertically by a factor of 3/4 and reflected in the y-axis. It’s asymptote is the line y=-4. It’s y-intercept is (0, -13/4).
回答 (2)
2019-06-19 10:31 pm
Ans. f(x)=-13[2^(x-2)]
2019-06-19 9:10 pm
exponential function with base ½
y = (½)^x
compressed vertically by factor 3/4
y = ¾(½)^x
reflected in the y-axis
y = ¾(½)^-x
asymptote is line y=-4
y = ¾(½)^(-x) - 4
Check if this has y-intercept as -13/4. we put x=0
y = ¾(½)^(0) - 4
y = ¾ - 4
y = -13/4 check !
So the exponential equation is
y = ¾(½)^(-x) - 4
y = (½)^x
compressed vertically by factor 3/4
y = ¾(½)^x
reflected in the y-axis
y = ¾(½)^-x
asymptote is line y=-4
y = ¾(½)^(-x) - 4
Check if this has y-intercept as -13/4. we put x=0
y = ¾(½)^(0) - 4
y = ¾ - 4
y = -13/4 check !
So the exponential equation is
y = ¾(½)^(-x) - 4
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