Describe how the graph of y=x^2 can be transformed to the graph of the given equation. Y=(x-10)^2+8.

Describe how to transform the graph of f into the graph of g. f(x)=√x and g(x)=√-x

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x)=9cosx; g(x)=cosx
Please Help. Thank you!:)

Question

Describe how the graph of y=x^2 can be transformed to the graph of the given equation. Y=(x-10)^2+8.

Describe how to transform the graph of f into the graph of g. f(x)=√x and g(x)=√-x

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x)=9cosx; g(x)=cosx
Please Help. Thank you!:)

satellite73 · Answer

from $$y=x^2$$ to $$y=(x-10)^2+8$$ is two transformations
the $+8$ out at the end sends the graph up 8 units, that one should be clear right?

kpoprocks21 · Answer

Yes. The -10 is moving the graph left? @satellite73

satellite73 · Answer

no
actually it would seem like it, so this is the confusing part 
it actually moves the graph to the RIGHT 10 units, not to the left

satellite73 · Answer

the reason is this: you are subtracting 10 BEFORE squaring, which has the effect of moving the y axis to the left 10, which means the graph moves to the RIGHT 10

kpoprocks21 · Answer

Okay. Just was not sure. Thx

kpoprocks21 · Answer

@satellite73

satellite73 · Answer

yw

kpoprocks21 · Answer

I don't really know how to solve the second question @agent0smith

satellite73 · Answer

what was on the left is now on the right, and vice versa

satellite73 · Answer

that has the effect of rotating the curve about the y axis
left becomes right, right becomes left