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

What is the equation of the function shown in the graph given the equation of the parent function is fx15x gx15x4 gx15x3 gx15x2 gx15x2 class=

Respuesta :

Option B is correct.

Function

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.

Exponent

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

[tex]\rm g(x)=1.5^{x} + c[/tex], is an exponent function.

To find

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

How to get 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

[tex]\rm g(x)=1.5^{x} - 3[/tex]

Thus the option B is correct.

More about the function link is given below.

https://brainly.com/question/5245372