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What do you mean exactly? Are you asking how you can put the first equation into the form you've seen for the second?
yes i need to graph it and find the focus the directrix and p
i would really appreciate the help I'm new haha
Okay, just a sec...doing multiple things at once ;)
I can be patient
Your first and second equations are both parabolas, but they're different. The second equation will look like ones you're used to, whereas the first will open up differently. \[y^2+4x=0 \rightarrow y^2-4x\](i.e. subtracting 4x from both sides) puts your parabola in a form where you can read off things like focus and directrix. I'll continue in a sec.
So, I made a mistake...great! It should be, \[y^2+4x=0 \rightarrow y^2=-4x\]
Now, do me a favor and go to this website: www.wolframalpha.com and in the box at the beginning, type in: y^2+4x=0 Look at the graph and then come back. I'll continue with the focus and directrix.
i think its suppose to be x= -y^2/4(1)
because the focus is (1,0) and the directirx is (-1,0)
but thank u for your help soo much it was lovely ;)
The parabola you have is one that opens on its side. The form of this kind of parabola is\[(y-k)^2=4a(x-h)\]where a is your focus and (h,k) is the vertex. In your case, both h and k are zero, and if you compare the form with your equation, you'll see,\[y^2=4ax \rightarrow a=-1\] so your focus is at (-1,0) and directrix (1,0)
hmm you have given me a lot to think about you have the opposite opinion of someone else i asked hmm ok ty :)
You're welcome. Your equation above, x=-y^2/4(1) is the same as what I gave you...just looks different.
thank you so much i really appreciate it :D