Answer:
The graph is stretched vertically.
Option D is correct.
Step-by-step explanation:
The parent function is f(x) = x
The other function is g(x) = 5x
The value of a describes the vertical stretch of the graph
if a>1 then the graph is vertically stretched
Here g(x) = 5x
a = 5
as a>1, so, the graph is stretched vertically.
Option D is correct.
The term which describes the transformation is:
Option: d
d) stretched vertically
We have a parent function i.e. the original function f(x) as:
[tex]f(x)=x[/tex]
We know that the transformation of the type:
f(x) to a f(x) either vertically stretch or vertically squeeze the function depending on a.
If a>1 then the transformation is a vertical stretch.
and if a<1 then the transformation is a vertical squeeze.
Here a=5>1
Hence, the function g(x) i.e.
[tex]g(x)=5x[/tex] is a vertical stretch of the function f(x).
