This week was alright I guess. I figured out the domain and range thing, yay. Learning, more like reviewing, functions was really easy. They are very easy to do and I really understand them.
functions:
f(x)=x^2+1 g(x)=-x+3
a)find f(1)
f(1)=1^2+1
f(1)=2
b)find g(2)
g(2)=-(2)+3
g(2)=1
composite functions:
c)using f(x)=x^2+1 and g(x)=-x+3, find (f o g)(x)
f(-x+3)
(-x+3)^2+1
x-6x+10
However, I do not understand reflections. I know that you plug into the formulas in the notes, but I don't understand what I am supposed to be plugging in to find, if that makes sense. I know Alicia said she was good with these so I will probably ask her for help with this. Hope everyone has a good upcoming week.
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Reflections are simply a matter of plugging in the given equation into each type of equation.
ReplyDeleteFor plugging in the equation into your reflections you should first simplify your notes
Reflectons on:
X axis- add a negative (to the front of the equation)
Y axis- plug in (-X)
Y = X- switch X and Y & solve Y
Origin- add a negative (to the front of the equation) and square
When looking for symmetry you look to see if the answer after reflection is the same as the original equation.
Ex:
Equation- Xˆ3-3
X axis- y= -(xˆ3-3) = y= -x+3 therefore not symmetric
Y axis- y= (-x) ˆ3 – 3 = y= -xˆ3- 3 therefore not symmetric
Y=X- x= yˆ3-3 = yˆ3= x+3 = y= third root x + 3 therefore not symmetric
Origin- y= -(-xˆ3-3) ˆ2 = y= - (xˆ6+3) = y= -xˆ3 – 3 therefore not symmetric
It looks simple because it is just that simple.
Good luck! If you have questions just ask.
heyy. taylor just listed all the steps for you so im not going to list them again but basically when doing reflections just know the rules for the x and y axis. also y=x and the origin. if you know the rules it should be fairly easy.
ReplyDeleteapply the rule to the problem. when you solve, it your answer does not match the original problem then it is not symmetrical on that axis.
example: y=x^2
x-axis
y= -x^2
it does not match the initial problem, therefore it is not symmetrical on the x axis!!!!
hope it helped!!! goodluck on tomorrows test :)
Reflections can be a bit confusing because there are 4 different things you need to reflect on. Just remember how u need to reflect for x-axis, y-axis, y=x, and origin. But make sure that you dont forget that in order to reflect on the origin, you need to reflect on the x-axis and y-axis so basically just plug in (-x) and put a -ve infront of the equation.
ReplyDelete