Question

Find the vertex of the parabola whose equation is y = x^2 + 6x + 2.

What is the line of symmetry for the parabola whose equation is y = 3x^2 + 24x - 1?

What is the line of symmetry for the parabola whose equation is y = x^2 + 10x + 25?

Find the vertex of the parabola whose equation is y = -2x^2 + 8x - 5.

What is the line of symmetry for the parabola whose equation is y = x^2 - 12x + 7?

Find the vertex of the parabola whose equation is y = x^2 - 4x + 6.

Answer 1

@satellite73

Answer 2

What is the line of symmetry for the parabola whose equation is y = x^2 + 10x + 25?

Answer 3

\(-\frac{b}{2a}=-\frac{10}{2\times 1}=-5\) is what you are looking for

Answer 4

line is \(x=-5\)

Answer 5

we havent done the first one yet silly! ;] @satellite73

Answer 6

Find the vertex of the parabola whose equation is \(y = -2x^2 + 8x - 5\) first coordinate of the vertex is \(-\frac{b}{2a}=-\frac{8}{2\times (-2)}=2\)

Answer 7

oh well lets finish this one
first coordinate of the vertex is \(2\)
second coordinate of the vertex is what you get when you replace \(x\) by \(2\) namely
\[-2(2)^2+8\times 2-5=3\] vertex is
\[(2,3)\]

Answer 8

can you fan me so i can message you

Answer 9

k

Answer 10

Find the vertex of the parabola whose equation is \(y = x^2 + 6x + 2\)
what is \(-\frac{b}{2a}\) in this case?
hint: \(a=1,b=6\)

Answer 11

you got this? or you still need help with it?

Answer 12

hm, so c is 2?

Answer 13

yes, \(c=2\) but you don't use \(c\) to compute the first coordinate of the vertex
it is
\[-\frac{b}{2a}\]

Answer 14

for question one it is
\[-\frac{6}{2\times (1)}=-3\]

Answer 15

so 6/2 = 3

Answer 16

don't forget the minus sign

Answer 17

oh and the negative

Answer 18

what about the other one?

Answer 19

right
now you have to find the second coordinate of the vertex
\[y = x^2 + 6x + 2. \] and replace \(x\) by \(-3\) using parentheses gives you
\[y=(-3)^2+6\times (-3)+2=9-18+2=-9+2=-7\]

Answer 20

that makes the vertex \((-3,-7)\)

Answer 21

what is the next one we need to do?

Answer 22

wow, youre so quick. the next one is What is the line of symmetry for the parabola whose equation is y = 3x^2 + 24x - 1?

Answer 23

i think the answer is -8 but im not sure

Answer 24

once again it is \(-\frac{b}{2a}\) which in this case is
\[-\frac{24}{2\times (3)}=-\frac{24}{6}\]

Answer 25

so the answer is -4

Answer 26

so no, it is not \(-8\)

Answer 27

yes

Answer 28

since it is a line, the answer is actually \(x=-4\)

Answer 29

what next?

Answer 30

What is the line of symmetry for the parabola whose equation is y = x2 - 12x + 7?

Answer 31

this one is for you to try first
again it is \(-\frac{b}{2a}\) this time with \(a=1,b=-12\)

Answer 32

so its 12/2

Answer 33

yes
better known as \(6\) but yes
also don't forget it is \(x=6\) the vertical line

Answer 34

that it, or is there more?

Answer 35

ill make a new post

Answer 36

k