Answer :
The new function is
a) [tex]y = {( - x)}^(3) - 4[/tex]
The parent or base function is
[tex]y = {x}^(3)[/tex]
This function has its y-intercept at the origin.
It has been transformed vertically so that its y-intercept is now at -4.
This is a transformation of the form
[tex]y = {x}^(3) - k[/tex]
where k=4.
The function is also reflected in the x-axis.
The new function is
a) [tex]y = {( - x)}^(3) - 4[/tex]
ANSWER
[tex]y = {( - x)}^{3} - 4[/tex]
EXPLANATION
The parent or base function is
[tex]y = {x}^{3} [/tex]
This function has its y-intercept at the origin.
It has been transformed vertically so that its y-intercept is now at -4.
This is a transformation of the form
[tex]y = {x}^{3} - k[/tex]
where k=4.
The function is also reflected in the x-axis.
The new function is
[tex]y = {( - x)}^{3} - 4[/tex]
