Question

To graph the function g(x)=-(x-4)^3, start with the graph f(x)=x^3 then make which of the following changes?

A. Shift the graph of left by 4 units.
B. Shift the graph of right by 4 units.
C. Shift the graph of up by 4 units.
D. Shift the graph of down by 4 units.
E. Reflect the graph of over the x-axis.
F. Reflect the graph of over the y-axis.
G. Stretch the graph of horizontally.
H. Stretch the graph of vertically.

Answer 1

Shift the graph of right by 4 units.

Answer 2

Is that all you do?

Answer 3

Reflect the graph of over the y-axis. due to presence of - sign

Answer 4

So B and F? That appears to be wrong

Answer 5

if you have y= 2 (for example) and then multiply the right side by -1 you get y=-2
you "flipped" over the X-axis.

Answer 6

Then what would it be for something like x^3+7 in relation to g(x)=X^3

Answer 7

x^3 + 7 is the same as x^3 (except obviously we add +7)
if you add +7 you make the graph shift up

Answer 8

Okay. Thank you very much!