y=(x^2-9) all over (x+2) shifted 4 units to the left. Whats the new equation
add 4 to each x part
I did that, and theanswer i got did not shift it 4 units to the left.
\[y=\frac{((x+4)^2-9)}{((x+4)+2)}\]
that is how you move left and right, you modify the x part directly
to move left; go positive; to move right, go negative :)
I got to that step, than i factored the x+4 but i still got some wierd answer
keep an eye on your simplification; thats whatll get ya.
\[y=\frac{(x^2+8x+16-9)}{(x+6)}\] \[y=\frac{(x^2+8x+7)}{(x+6)}\] \[y=\frac{(x+7)(x+1)}{(x+6)}\]
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)
is that a: .5 ?
\[\Large .5\ ?\]
0.5 yes.
think of it like this: (x, f(x)) (-4,-6) *.5 ------- (-4,-3) .... is the best i can make of that
in other words, modify that y component by a multiple of 0.5
but then what would y=f(0.5x) be? multiply the x by .5 or?
if its inside the () .. your playing with the "x" if its outside the () ... your playing with the "y"
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
if htere is material that goes with it, id refer yo to it for the specifics :)
noo, there is just a few problems that he showed uus how to do, hes not a very good teacher :/
then im also haing aloot of trouble with constucting functions :/
a function is just making something that will take an input and give you an output .... whats the hard part for you?
for example....
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
B) express the area of the square as a functio0n of x.
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?
P(x) = x is what id say for the perimeter
since a square has 4 equal sides; or (1/4)x per side; we should be aware that aware is equal to side*side
A(x) = [(1/4)x]^2 .. right?
ahh i wish i was smart like you :/ hahaha
:) just old
ah, its cause i've missed afew days of school, so now im really behind, espexcially in math:/
good luck with it :)
\[y=2\sqrt[3]{x-1}+5\] with vvertical compression factor of 1/2? i know you multiply the function by 1/2 but the algebra is messing me up :/
\[y=\ 2\sqrt[3]{x-1}+5\] \[y=\ \frac{1}{2}(2\sqrt[3]{x-1}+5)\] \[y=\ \sqrt[3]{x-1}+\frac{5}{2}\]
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