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Mathematics 20 Online
OpenStudy (anonymous):

y=(x^2-9) all over (x+2) shifted 4 units to the left. Whats the new equation

OpenStudy (amistre64):

add 4 to each x part

OpenStudy (anonymous):

I did that, and theanswer i got did not shift it 4 units to the left.

OpenStudy (amistre64):

\[y=\frac{((x+4)^2-9)}{((x+4)+2)}\]

OpenStudy (amistre64):

that is how you move left and right, you modify the x part directly

OpenStudy (amistre64):

to move left; go positive; to move right, go negative :)

OpenStudy (anonymous):

I got to that step, than i factored the x+4 but i still got some wierd answer

OpenStudy (amistre64):

keep an eye on your simplification; thats whatll get ya.

OpenStudy (amistre64):

\[y=\frac{(x^2+8x+16-9)}{(x+6)}\] \[y=\frac{(x^2+8x+7)}{(x+6)}\] \[y=\frac{(x+7)(x+1)}{(x+6)}\]

OpenStudy (anonymous):

Thank you soo much (: but now, on this other problem im givin a point (-4,-6) and its telling me to determine the location of the corresponding point based on the tranformation. y=.5f(x)

OpenStudy (amistre64):

is that a: .5 ?

OpenStudy (amistre64):

\[\Large .5\ ?\]

OpenStudy (anonymous):

0.5 yes.

OpenStudy (amistre64):

think of it like this: (x, f(x)) (-4,-6) *.5 ------- (-4,-3) .... is the best i can make of that

OpenStudy (amistre64):

in other words, modify that y component by a multiple of 0.5

OpenStudy (anonymous):

but then what would y=f(0.5x) be? multiply the x by .5 or?

OpenStudy (amistre64):

if its inside the () .. your playing with the "x" if its outside the () ... your playing with the "y"

OpenStudy (amistre64):

the trick with this tho is that you have no idea how the function "f" uses the x to make a y value; so modifying the x like that is rather spurious

OpenStudy (amistre64):

if htere is material that goes with it, id refer yo to it for the specifics :)

OpenStudy (anonymous):

noo, there is just a few problems that he showed uus how to do, hes not a very good teacher :/

OpenStudy (anonymous):

then im also haing aloot of trouble with constucting functions :/

OpenStudy (amistre64):

a function is just making something that will take an input and give you an output .... whats the hard part for you?

OpenStudy (anonymous):

for example....

OpenStudy (anonymous):

a wire of length x is bent into the shape of a square. A) express the perimeter of the square as a function of x

OpenStudy (anonymous):

B) express the area of the square as a functio0n of x.

OpenStudy (amistre64):

if you take a length of x and bend it; and add up all the sides ... you still have x :) if i take a 12inch coathanger and bend it; i havent changed the length have i?

OpenStudy (amistre64):

P(x) = x is what id say for the perimeter

OpenStudy (amistre64):

since a square has 4 equal sides; or (1/4)x per side; we should be aware that aware is equal to side*side

OpenStudy (amistre64):

A(x) = [(1/4)x]^2 .. right?

OpenStudy (anonymous):

ahh i wish i was smart like you :/ hahaha

OpenStudy (amistre64):

:) just old

OpenStudy (anonymous):

ah, its cause i've missed afew days of school, so now im really behind, espexcially in math:/

OpenStudy (amistre64):

good luck with it :)

OpenStudy (anonymous):

\[y=2\sqrt[3]{x-1}+5\] with vvertical compression factor of 1/2? i know you multiply the function by 1/2 but the algebra is messing me up :/

OpenStudy (amistre64):

\[y=\ 2\sqrt[3]{x-1}+5\] \[y=\ \frac{1}{2}(2\sqrt[3]{x-1}+5)\] \[y=\ \sqrt[3]{x-1}+\frac{5}{2}\]

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