What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=1.5^x ? g(x)=1.5^x−4 g(x)=1.5^x−3 g(x)=1.5^x−2 g(x)=1.5^x+2

Option B is correct.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Given

, is an exponent function.

The equation of the parent function is g(x).

We know that whenever we subtract from the number the function gets shifted downward to the same unit.

From the figure, we can see that -3 is subtracted then the g(x) will be

Thus the option B is correct.

More about the function link is given below.

link

-1/2 +2

step-by-step explanation: