Question

the shape of f(x)=1/5x^5, but moved 3 units to the the left and 3 units down.
A) g(x)=-1/5(x+3)^5-3
B) g(x)=1/5(x-3)^5-3
C) g(x)=1/5(x-3)^5+3
D) g(x)=1/5(x+3)^5-3

Answer 1

usually
$$\huge {
f(x) = A(x\pm B)\pm C\\
}
$$
B = horizontal shift
C = vertical shift

Answer 2

and +B for 'left' -B for 'right' +C for 'upward' -C for 'Downwards'

Answer 3

so it would be D/

Answer 4

yup

Answer 5

D) shows ---> (x+3)^5-3

that'd be a horizontal shift to the right, and vertical down

Answer 6

ohh, maybe not

Answer 7

rigth, is shifting to the left

Answer 8

oh sorry I messed up it should be +B for right and -B for left

Answer 9

nope, you're correct, + moves it to the left

Answer 10

so it's D

Answer 11

no @jdoe0001 it should be B x decreases as we move left from origin (0,0)
visualize a number line and you will understand

Answer 12

is actually backwards, and a bit off, but +B moves the graph to the left, and -B will move it to the right

Answer 13

I mean, that doesn't hold true on many cases, like in trig, but it does for this translations

Answer 14

I'm not even quite sure about trig, but I could test really quick

Answer 15

nope, the same shift behaviour is also true in trig