Which statement describes the graph of function g?
f(x) = 2x
g(x) = 2x + 3
A. The graph of g is 3 units above the graph of f.
B. The graph of gis 3 units to the right of the graph of f.
C. The graph of g is 3 units below the graph of f.
D. The graph of g is 3 units to the left of the graph of f.

Respuesta :

Answer: B

Step-by-step explanation: The equation of the line in Slope-intercept form is:

Where "m" is the slope of the line and "b" is the intersection of the line with the y-axis.

For the graph of the line, you can identify that:

And for, you can identify that:

Therefore, you can observe that the slope does not change, but now the line cuts the y-axis at . In other words, it was moved from to (3 units on the y-axis)

Then, it is the graph of translated 3 units upward, which means that the graph of g(x) is 3 units above the graph of f(x).

The graph of g is 3 units above the graph of f(x), the correct option is A.

What is a Graph?

The graph is a mathematical representation of the relation between two objects.

It helps in determining the function that fits best for the data obtained.

A function is a mathematical statement that defines a relationship between a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can give as output.

The function f(x) = 2x

g(x) = 2x+3

Both functions are a straight line, an equation of a straight line is given by y =mx +c, m is the slope of the line and c is the y intercept.

In the function f(x), the slope is 2 and the intercept is 0

In the function g(x), the slope is 2 and the intercept is 3.

As the intercept is 3, the g(x) is 3 units above the graph f(x).

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