Question

If the graph of f(x) = 4 ^ x is shifted 6 units up, then what would be the equation of the new graph?

Answer 1

The equation of the new graph g(x) is expressed as g(x) = 4^x + 6

Exponential equation

The standard exponential equation is expressed as y = ab^x. Exponential equation is inverse of logarithmic equation.

Translation of coordinates

Translations is a transformation technique that changes the position of an object from one point on the plane to another.

Given the function f(x) = 4^x

If the function is shifted 6 units up, the function g(x) is derived by adding 4 to the function f(x). The resulting function is given as;

g(x) = f(x) + 6

g(x) = 4^x + 6

Hence the equation of the new graph g(x) is expressed as g(x) = 4^x + 6

Learn more on translation here: https://brainly.com/question/1046778

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