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 $f .$
$$
f(x)=-2 x, g(x)=-2 x-1
$$

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Key Concepts

Graphing Linear Functions

Graphing linear functions involves plotting points on a rectangular coordinate system based on an equation in the form y = mx + b, where m represents the slope and b represents the y-intercept. This process helps visualize the straight-line relationship between the variables and analyze how the function behaves across different values of x.

Slope-Intercept Form

The slope-intercept form of a linear equation, written y = mx + b, clearly shows the slope (m) and the y-intercept (b). This form is essential for quickly identifying how steep a line is and where it intersects the y-axis, facilitating the creation and transformation of its graph.

Vertical Translation

Vertical translation is a transformation that shifts a graph up or down without changing its shape or orientation. When a constant is added or subtracted from a function, as in g(x) = f(x) - 1, every point on the graph is moved uniformly downward by that constant, effectively shifting the entire line lower on the coordinate system.

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