Classify the conic section and write its equation in standard form.

1) y2 - 8y - 8x = -24

Question

Classify the conic section and write its equation in standard form. 

1) y2 - 8y - 8x = -24

anonymous · Answer

That's a parabola, but I forgot what is it standard form. Let me google it.

anonymous · Answer

parabola

anonymous · Answer

Complete the square on the LHS with:
y^2 - 8y + 24 = 8x. Then divide by 8.

anonymous · Answer

is it 
x =   - yea

anonymous · Answer

I think it's $\LARGE \frac{(y - 4)^2}{8} + 1 = x $ but I don't recall if the coefficient for the (y - 4) has to be 1 or not.

anonymous · Answer

thanks

anonymous · Answer

yea - not sure - when the subject is introduced it uses y^2 = 4 a x

anonymous · Answer

Indeed, so I guess we need to expand it out without and simplifying then squaring again?

anonymous · Answer

yes

anonymous · Answer

It should be x = ay^2, so yeah, guess we have to work it out.

anonymous · Answer

i'm not sure - the literature often says that y = ax^2 + bx + c is the standard form
so is x = ay^2 + by + c  considered to be std form as well - so your first suggestion could be right

anonymous · Answer

Yeah, guess it's a problem with ambiguity. Do you have answer choices, @lindawalters?