Question

5. The graph of g(x) results when the graph of f(x) = |x| is shifted 4 units to the right.

i got b
Which is the equation of g(x)?
(Points : 4)
g(x) = 4|x|

g(x) = |x| + 4

g(x) = |x 4|

g(x) = |x + 4|

Answer 1

y = A ( Bx + C ) + D


C = horizontal shift, C > 0, to the left, C < 0, to the right

Answer 2

i dont understand what you just said, is this suposed to be in y = mx + b? or f(x)

Answer 3

hmmm ok, then ...
y = A | Bx + C | + D


C = horizontal shift, C > 0, to the left, C < 0, to the right

Answer 4

that's what the translation, transformation or shifts so-called, occur

Answer 5

you need it shifted 4 units to the right.... so C < 0, or C is negative

Answer 6

so you have l x + 4l or something like that?

Answer 7

|x+4| will be a shift to the left

Answer 8

- would be the shift to the right

Answer 9

so the obvious now will be | x - 4 |

Answer 10

yeap

Answer 11

so the answeri would have would be -lx-4l

Answer 12

hmm well... if you just need | x | shifted to the right 4 units, it'd be just | x - 4 |

Answer 13

sorry the negative did not show up

Answer 14

-|x - 4 | will shift it 4 units to the right, and will also flip it upside down

Answer 15

5. The graph of g(x) results when the graph of f(x) = |x| is shifted 4 units to the right.

i got b
Which is the equation of g(x)?
(Points : 4)
g(x) = -4|x|

g(x) = -|x| + 4

g(x) = -|x- 4|

g(x) = -|x + 4|

Answer 16

well.... "b" will be a vertical shift

Answer 17

-|x| + 4 is |x| flipped upside down and 4 units UP

Answer 18

unless f(x) = -|x|

Answer 19

it does f(x) = -lxl sorry

Answer 20

then now you know which one it's :)

Answer 21

-lxl + 4?

Answer 22

recall that

y = A | Bx + C | + D

C = horizontal shift, C > 0, to the left, C < 0, to the right

Answer 23

wait if -|x - 4 | will shift it 4 units to the right,will it still flip it upside down?

Answer 24

well, it'll shift it to the right 4 units, it won't flip it upside down, not because original it was -|x|

Answer 25

oh ok i see now i tried to graph this some how and thats why i got b, thank you again :)

Answer 26

yw