Question 3(multiple choice worth 5 points) (03.03 lc) how does the graph of g(x) = (x − 2)3 + 7 compare to the parent function f(x) = x3? g(x) is shifted 7 units to the right and 2 units up. g(x) is shifted 2 units to the right and 7 units up. g(x) is shifted 7 units to the right and 2 units down. g(x) is shifted 2 units to the left and 7 units up.

Second option.

Step-by-step explanation:

Below are some transformation for a function f(x):

If then the function is shifted up "k" units.

If then the function is shifted down "k" units.

If then the function is shifted "k" units to the left.

If then the function is shifted "k" units to the right.

Knowing this tranformations and given the parent function and the function , we can conclude that the function g(x) is shifted 2 units to the right and 7 units up.

We can observe that this matches with the second option.

i got 10.28 but that rounds up to 10.3

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph