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Please help.

Write the equation of the graph. (Do not use spaces. Use ^ to represent exponents. Example 2^3 is 23.)

Please help. Write the equation of the graph. (Do not use spaces. Use ^ to represent-example-1

1 Answer

6 votes
It's an exponential graph so it must be something like
y=a^x+c
It passes through (0, -2) on the y-axis so it must be
y=a^x-2
It passes through approximately (0.5, 0) on the x-axis so

0=a^(0.5)-2

\ln2=0.5\ln a

\ln a= (\ln2)/(0.5)

a=e^{ (\ln2)/(0.5)}=4

Equation is
y=4^x-2

User Volting
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