OpenStudy (kellyspeakslouder):

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.

1 year ago
OpenStudy (kellyspeakslouder):

@welshfella

1 year ago
OpenStudy (kellyspeakslouder):

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

1 year ago
OpenStudy (kellyspeakslouder):

@mathstudent55

1 year ago
OpenStudy (kellyspeakslouder):

1 year ago
OpenStudy (kellyspeakslouder):

@Nnesha

1 year ago
OpenStudy (kellyspeakslouder):

1 year ago
OpenStudy (kellyspeakslouder):

1 year ago
OpenStudy (kellyspeakslouder):

@mathmate

1 year ago
OpenStudy (mathmate):

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.

1 year ago
OpenStudy (kellyspeakslouder):

B? @mathmate

1 year ago
OpenStudy (kellyspeakslouder):

@mathmate

1 year ago
OpenStudy (kellyspeakslouder):

hello?

1 year ago
OpenStudy (kellyspeakslouder):

@jabez177

1 year ago
OpenStudy (kellyspeakslouder):

@mathmate

1 year ago
OpenStudy (kellyspeakslouder):

@mathmale

1 year ago
OpenStudy (kellyspeakslouder):

@jabez177

1 year ago
OpenStudy (mathmale):

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

1 year ago
OpenStudy (kellyspeakslouder):

im correct?

1 year ago
OpenStudy (mathmale):

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?

1 year ago
OpenStudy (kellyspeakslouder):

yes

1 year ago
OpenStudy (mathmale):

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

1 year ago
OpenStudy (kellyspeakslouder):

I said B lol way up in the comments somewhere

1 year ago
OpenStudy (mathmale):

"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.

1 year ago
OpenStudy (mathmale):

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

1 year ago
OpenStudy (kellyspeakslouder):

A

1 year ago
OpenStudy (kellyspeakslouder):

@mathmale

1 year ago
OpenStudy (kellyspeakslouder):

@mathmale

1 year ago
OpenStudy (sshayer):

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

1 year ago
OpenStudy (kellyspeakslouder):

thank you

1 year ago
OpenStudy (sshayer):

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

1 year ago
OpenStudy (kellyspeakslouder):

y = x2 + 8

1 year ago
OpenStudy (kellyspeakslouder):

1 year ago
OpenStudy (sshayer):

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

1 year ago
OpenStudy (sshayer):

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

1 year ago
OpenStudy (kellyspeakslouder):

y = (x+9)2-3

1 year ago
OpenStudy (mathmate):

@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.

1 year ago