College

The graph of the function [tex]y = f(x) + 93[/tex] can be obtained from the graph of [tex]y = f(x)[/tex] by one of the following actions:

A. Shifting the graph of [tex]f(x)[/tex] upwards 93 units
B. Shifting the graph of [tex]f(x)[/tex] to the left 93 units
C. Shifting the graph of [tex]f(x)[/tex] to the right 93 units
D. Shifting the graph of [tex]f(x)[/tex] downwards 93 units

Answer :

We start with the function

[tex]$$y = f(x) + 93.$$[/tex]

In this expression, the number 93 is added to the entire function [tex]$f(x)$[/tex]. When a constant is added to the output of the function (that is, to [tex]$y$[/tex]), the graph of the function shifts vertically.

More specifically, adding 93 to [tex]$f(x)$[/tex] means that every [tex]$y$[/tex]‑value increases by 93. This is equivalent to moving each point on the graph upward by 93 units.

Thus, the graph of [tex]$y = f(x) + 93$[/tex] is obtained by shifting the graph of [tex]$y = f(x)$[/tex] upward 93 units.