Graph the given functions, f and g, in the same rectangular...

Graph the given functions, $f$ and $g,$ in the same rectangular coordinate system. Select integers for $x,$ starting with $-2$ and ending with $2 .$ Once you have obtained your graphs, describe how the graph of g is related to the graph of $f$
$f(x)=x, g(x)=x+3$

Key Concepts

Cartesian Coordinate System

This is a two-dimensional plane defined by a horizontal axis (x-axis) and a vertical axis (y-axis) that are perpendicular to each other. It provides the framework for graphing functions by allowing each point to be represented by a pair of numerical coordinates, one for the position along the x-axis and one for the y-axis.

Graphing Functions

Graphing functions involves plotting points on the coordinate plane where each point corresponds to a pair (x, f(x)) computed from the function. This process helps visualize the behavior of the function, revealing characteristics such as intercepts, slopes, and overall shape.

Linear Functions

Linear functions are equations that produce straight lines when graphed. They are characterized by a constant rate of change, or slope, and are typically expressed in the form f(x) = mx + b, where m represents the slope and b represents the y-intercept.

Vertical Translation

Vertical translation is a type of transformation where a function's graph is shifted upward or downward by adding a constant to the function. When a constant is added, every point on the original graph moves the same number of units in the vertical direction without changing the shape of the graph.

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