Question

To graph the function g(x)=^3sqrt-x-11 start with the graph f(x)=^3sqrtx and then make which of the following changes?A. Shift the graph of left by 11 units.
B. Shift the graph of right by 11 units.
C. Shift the graph of up by 11 units.
D. Shift the graph of down by 11 units.
E. Reflect the graph of over the -axis.
F. Reflect the graph of over the -axis.
G. Stretch the graph of horizontally.
H. Stretch the graph of vertically.

Answer 1

I think I already explain the shifts and the stretches, no ?

Answer 2

The last answer you gave me was wrong

Answer 3

was it? All I know is

SHIFTS:

f(x)= ∛x ⇒ f(x)= ∛(x \(\normalsize\color{red}{ +~\rm{c} }\) ) , c units left.
f(x)= ∛x ⇒ f(x)= ∛(x \(\normalsize\color{red}{ -~\rm{c} }\) ) , c units right.
f(x)= ∛x ⇒ f(x)= ∛(x )\(\normalsize\color{red}{ -~\rm{c} }\) , c units down.
f(x)= ∛x ⇒ f(x)= ∛(x )\(\normalsize\color{red}{ +~\rm{c} }\) , c units up.



STRETCHES.


f(x)= ∛x ⇒ f(x)= \(\normalsize\color{red}{ \rm{a} }\)∛x , when `│a│> 1` stretches vertically.

f(x)= ∛x ⇒ f(x)= \(\normalsize\color{red}{ \rm{a} }\)∛x , when `│a│< 1` stretches horizontally.

Answer 4

whatever.... I learned my lesson for the day

Answer 5

@mathstudent55 can you possibly help with this one?