Answer :
Consider the function
[tex]$$
y = f(x) + 93.
$$[/tex]
This equation is obtained by taking the original function [tex]$f(x)$[/tex] and adding [tex]$93$[/tex] to its output values. In terms of transformations, adding a constant to the entire function results in a vertical shift. Specifically, adding [tex]$93$[/tex] shifts the graph of [tex]$f(x)$[/tex] upward by [tex]$93$[/tex] units.
To summarize the steps:
1. We start with the original graph [tex]$y = f(x)$[/tex].
2. Adding [tex]$93$[/tex] to the function gives the new graph: [tex]$y = f(x) + 93$[/tex].
3. This simply means every [tex]$y$[/tex]-value in the original graph is increased by [tex]$93$[/tex], which moves the graph upward by [tex]$93$[/tex] units.
Thus, the correct transformation is:
[tex]$$
\text{Shifting the graph of } f(x) \text{ upwards 93 units.}
$$[/tex]
The final answer is option 1.
[tex]$$
y = f(x) + 93.
$$[/tex]
This equation is obtained by taking the original function [tex]$f(x)$[/tex] and adding [tex]$93$[/tex] to its output values. In terms of transformations, adding a constant to the entire function results in a vertical shift. Specifically, adding [tex]$93$[/tex] shifts the graph of [tex]$f(x)$[/tex] upward by [tex]$93$[/tex] units.
To summarize the steps:
1. We start with the original graph [tex]$y = f(x)$[/tex].
2. Adding [tex]$93$[/tex] to the function gives the new graph: [tex]$y = f(x) + 93$[/tex].
3. This simply means every [tex]$y$[/tex]-value in the original graph is increased by [tex]$93$[/tex], which moves the graph upward by [tex]$93$[/tex] units.
Thus, the correct transformation is:
[tex]$$
\text{Shifting the graph of } f(x) \text{ upwards 93 units.}
$$[/tex]
The final answer is option 1.
