Question

A parabola is defined by the following the following equation:
x^(2)-10x-y+23=0
What are the coordinates of its vertex?

Answer 1

gonna have to complete the square;

Answer 2

x^2 -10x = y -23

x^2 -10x +25 = y-23 +25

Answer 3

(x-5)^2 = (y+2)

Answer 4

the vertex is at (5,-2) i believe

Answer 5

teh equation tells us the vertex = (5,-2)

the distance from vertex to focus or directix = 1/4

the focus is at (5,-1' 3/4)

the parabola opens upwards

Answer 6

everyone keeps telling me to complete the squares, but i don't even know how to do that. i am horrible at math.

Answer 7

complete the square is a process used to make a square complete....add the missing parts really.

Answer 8

A complete square can move freely back and forth between to forms;

(x+3)^2 = x^2 +6x +9
^^^^^^^^
this is a complete square

Answer 9

if all we had was:

x^2 +6x. then the square is missing a part to it and it is stuck in this form...

Answer 10

How the incomplete square is made tells us alot about the missing parts

Answer 11

in short, we need to take the number that is next to the 'x'.. that 6 there in this case; and split it in half

Answer 12

6/2 = 3

the missing part that we need is then 3^2

x^2 +6x +3^2 = (x+3)^2

Answer 13

THAN square so fun!

Answer 14

well he already did it above so i was late

Answer 15

lol..your just in time ;)

Answer 16

:)

Answer 17

chizz; it takes time and practice to know it good enough to be able to see it

Answer 18

never talked about directex and focus in any of my math classes? what use are these?

Answer 19

the focus and directix are geometry terms used to define a parabola; and any conic section really. It relies upon the geometric interpretation instead of the algebraic

Answer 20

oh i see

Answer 21

a parabola is:

all poionts that are equi distant from a straight line from the focus and a perpendicular line to the directix.

Answer 22

lol amistre, nice shirt? :D

Answer 23

thnx :) i made it me self.

Answer 24

seriously? ._. nice, lol np

Answer 25

before i learned about openstudy, i taught myself many things; origami, knitting, crocheting, sister annoying...you know, the basics of life ;)

Answer 26

sister annoying? that must've been an interesting experience lol. Your wife must be so grateful to have you >_<

Answer 27

ironically no :/ but i did get to drive her to the hospital yesterday and see the kids for a bit :)

Answer 28

nah, I bet she is :) but doesn't show it :P? that's nice ^_^