Question

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

Answer 1

i assume this is \(y=x^2\) right?

Answer 2

yes

Answer 3

the \(-3\) moves it to the RIGHT 3 units

Answer 4

oh you have two \(-3\) there

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

omg thank youso much

Answer 9

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

Answer 10

uses stretch ? would that be the same meaning

Answer 11

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