Answer: Option C
[tex]a> 0[/tex]
Step-by-step explanation:
The graph shows a radical function of the form [tex]f(x)=a(x+k)^{\frac{1}{n}}+c[/tex]
Where n is a positive number.
For this type of function, if the coefficient [tex]a> 0[/tex] then then when x tends to [tex]\infty[/tex] f(x) tends to [tex]\infty[/tex] and when x tends to [tex]-\infty[/tex] then f(x) tends to [tex]-\infty[/tex].
Notice in the graph that as x increases then f(x) also increases and as x decreases f(x) also decreases.
This indicates that the coefficient [tex]a> 0[/tex]
