Question

Which function represents the graph of f(x) = −4|x| after it is translated 3 units down?

A. g(x)=−4|x| + 3

B. g(x)=−4|x| − 3

C. g(x)=−4|x−3|

D. g(x)=−4|x+3|

Answer 1

hint: to translate f(x) = |x| down h units, simply subtract h from the function to get f(x) = |x| - h

make sure the subtraction sign is outside the absolute value sign

Answer 2

now apply this logic to your own problem

Answer 3

the answer is C

Answer 4

again, make sure the subtraction sign is OUTSIDE the absolute value symbols

Answer 5

i just worked out the problem and i come to the conclusion that c isn't and so one of the answers are

Answer 6

so what do you think the answer might be?

Answer 7

correct me if i'm wrong, but i think the answer is b ?

Answer 8

yup b is correct, good work

Answer 9

The graph of g(x) is obtained by reflecting the graph of f(x)=2|x| over the x-axis.

Which equation describes g(x)?

A. g(x) = |x+2|

B. g(x)=− |2x|

C. g(x) = |2x|

D. g(x)= − |x+2|

Answer 10

to reflect over the x-axis, multiply the entire function by -1

Answer 11

so in this case the negative sign would be outside the absolute value sign

Answer 12

correct me if i'm wrong, the answer is D ?

Answer 13

leave the 2|x| alone and just write a negative sign in front of it

Answer 14

B because i solve it multiplying it

Answer 15

hm. looking at these answer choices technically none are right, but B is the best answer

Answer 16

What type of transformation takes the graph of f(x)= |x| to the graph of g(x) = |4+x|?

A. vertical translation of 4 units down

B. horizontal translation of 4 units left

C. vertical translation of 4 units up

D. horizontal translation of 4 units right

Answer 17

for horizontal transformations, f(x+h) is a shift to the left by h units

Answer 18

try applying this logic to your problem

Answer 19

the answer is D ?

Answer 20

f(x+h) is a shift to the <<left>> by h units

Answer 21

so |x+4| is a shift to the ____ by 4 units

fill in the blank

Answer 22

left

Answer 23

good so which answer matches?

Answer 24

B.

Answer 25

good job

Answer 26

thanks a lot

Answer 27

a whole lot

Answer 28

if i ever need you, i come to you right ?

Answer 29

sure