Question

Describe how the graph of y = x2 can be transformed to the graph of the given equation.
y = (x+4)2
A. Shift the graph of y = x2 right 4 units.
B. Shift the graph of y = x2 up 4 units.
C. Shift the graph of y = x2 down 4 units.
D. Shift the graph of y = x2 left 4 units.

Answer 1

@welshfella

Answer 2

I need your help! I am far behind in this class and I need to submit two assignments tonight!

Answer 3

@mathstudent55

Answer 4

PLEASE SOMEONE HELP ME

Answer 5

@Nnesha

Answer 6

please anyone

Answer 7

@AloneS please help me

Answer 8

@mathmate

Answer 9

Any function f(x) may be translated to the \(right\) by h units and up k units by
g(x)=f(x-h)+k
In your particular case, k=0.
For example, to translate f(x)=x^3+x 3 units to the \(left\), we have
g(x)
=f(x-(-3))
=f(x+3)
=(x+3)^3+(x+3)
=x^3+3x^2+9x+27 + (x+3)
=x^3+3x^2+10x+30

In your case, g(x)=f(x+4), figure out the translation that makes this happen.

Answer 10

B? @mathmate

Answer 11

@mathmate

Answer 12

hello?

Answer 13

@jabez177

Answer 14

@mathmate

Answer 15

@mathmale

Answer 16

@jabez177

Answer 17

Others might be slightly more inclined to help you if you'd express your exponentiation properly:

Correct: "y = x^2 can be transformed to the graph of the given equation.
y = (x+4)^2

Answer 18

im correct?

Answer 19

Rule: If you are given y=f(x) and are asked to graph it, then the function f(x-a) has a graph that is identical to that of f(x), BUT has been shifted "a" units to the right (assuming that "a" is positive.

Can you use this fact to answer the original question?

Answer 20

yes

Answer 21

Can't tell you whether you're correct or not; you haven't posted a response (at least not one that I can see).

Answer 22

I said B lol way up in the comments somewhere

Answer 23

"y = x^2 can be transformed to the graph of the given equation.
y = (x+4)^2" Please draw the graph of y=x^2. Then, using the info I've shared with you, decide how the graph of y = (x+4)^2 will differ from that of y=x^2.

Answer 24

B is not correct. We'll discuss why, later. For now, please read the Rule I've shared with you, above.

Answer 25

A

Answer 26

@mathmale

Answer 27

@mathmale

Answer 28

x+4=0
x=-4
so 4 units left.

Answer 29

thank you

Answer 30

x-5=0
if x=5 ,
5 units right

Answer 31

y = x2 + 8

Answer 32

@sshayer what about that one?

Answer 33

when x=0,y=8
so 8 units up

Answer 34

if y=x^2-7
when x=0
y=-7
so 7 units down

Answer 35

y = (x+9)2-3

Answer 36

@kellyspeakslouder
More than one helper has shown you the way to figure out the answer. The idea is once you have understood how translation works, you can work out the problem by yourself and be proud about it. Otherwise, you'd need "help" whenever this kind of problems pop up.