what steps transform the graph of y+x^2 to y=-3(x-3)^2+4

Question

anonymous · Answer

i assume this is $y=x^2$ right?

anonymous · Answer

yes

anonymous · Answer

the $-3$ moves it to the RIGHT 3 units

anonymous · Answer

oh you have two $-3$ there

anonymous · Answer

$$\large  y=\color{red}{-3}(x\color{blue}{-3})^2+\color{green}{4}$$

anonymous · Answer

the $\color{blue}{-3}$ moves it to the right 3 units
the $\color{red}{-3}$ flips it over and compresses by a factor of 3, and 
the $\color{green}4$ moves it up 4 units

anonymous · Answer

yes thats right i just need help on howto put that iinto words

anonymous · Answer

omg thank  youso much

anonymous · Answer

yw
i don't know what your teacher uses for "compress" maybe you can find a better word

anonymous · Answer

uses stretch ? would that be the same meaning

anonymous · Answer

no not stretch, that would be for a number in absolute value less than one
what other word do they use?

anonymous · Answer

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