f(x) = x2; shift 9 units to the left and reflect in the x-axis. How do I write this?

Question

f(x) = x2;  shift 9 units to the left and reflect in the x-axis.  How do I write this?

anonymous · Answer

Hi welcome to OPenstudy!

$\LARGE y= \color{blue}{a}f(\color{red}{k}(x-\color{green}{d}))+\color{orange}{c}$ 

just focus on the horizontal translation and reflection "a" and "d"
d represents the translation. your question says: shift 9 units to the $left $
so it means your function will be: $f(x)=x^2+9$
and then the question says: reflect in the x-axis
in order to reflect the function in the x-axis the value of a should be less than zero
therefore you'll function will be $f(x)=-x^2+9$

amistre64 · Answer

not quite accurate

amistre64 · Answer

the difference between x^2  and x^2 + 3  us that one is move UP by 3 units,  not left

anonymous · Answer

oops i forgot the brackets, sorry

anonymous · Answer

thank you for your answers. this is a great site.

anonymous · Answer

Glad to hear that, but be aware that we are just here to guide you for you to get the right answer, we are not here to provide the answers (because that's against our code of conduct: http://openstudy.com/code-of-conduct, and i admit that i violated it, so i'm so sorry. I will not do that again ) If you have any questions about this site, i'm here to help :)