The graph of f(x)=e^x-1 +5 is shown below. g(x) is a transformation of f(x). How would you write the equation for the function g(x)?

it looks like the graph is simply shifted own by 5+3=8 units
to shift a graph up by c units, add c to whole function
so to move it down by 8, minus 8 from whole function
f(x)-6=[tex]e^{x-1}+5-8=e^{x-1}-3[/tex]
answer is D
The equation for the function g(x) is Option D. g(x) =e^x-1 -3
g(x) is a vertical shift 8 units down (-8) from f(x)
f(x) = eˣ⁻¹ + 5
g(x) = (eˣ⁻¹ + 5) - 8
= eˣ⁻¹ - 3.
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7. Each functional equation provides some information about a function or about multiple functions. For example, f ( x ) − f ( y ) = x − y f(x)-f(y)=x-y f(x)−f(y)=x−y is a functional equation.
learn more about equation, refer
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