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This week was all about inverses and graphing stuff.

These are the rules to see if something is symmetric

( i left my math binder at school so forgive me if i'm wrong)



to see if its symmetric on the x axis, you plug in negative y-and see if this equation and the original match
to see if its symmetric on the y axis, you plug in negative x-ditto
to see if its symmetric on the origin, you plug in negative x and y-ditto
to see if its symmetric ont the y=x, you switch the x and ys.-and ditto

example:

f(x)= x^2+xy
x axis-x^2-xy-not the same equation so noooooo
y axis-(-X^2)-xy-not the same soo nope
origin-(-x^2)+xy=x- yyessss the graph will be symmetric
y=x-y^2+xy-nooot even close

now we will talk about graphing these things

if they give you f(x) , they could tell you this
1.-f(x)
2.f(-x)
3.lf(x)l
and i can't remember the last one if there is a last one
but if they tell you number 1, you would reflect the graph on the x axis
if they tell you 2. then you reflect on the y axis
if they tell you 3, then you make all negative y values positive and graph.
havee fuuuuuuuunnnnnnn withhh that.