Answer :

The equation that belongs to the same function family as the graph shown below is given as follows:

C. h(x) = 2(5)^x.

What is an exponential function?

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

  • a is the value of y when x = 0.
  • b is the rate of change.

The graphed function is a decreasing exponential function, belonging to the exponential function family.

Hence the correct option is given by option C, as it is the only exponential function among the options given.

More can be learned about exponential functions at https://brainly.com/question/2456547

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