Question

Which of these shows the graph for the quadratic function



y = x^2 + 2x + 3?

Answer 1

@ganeshie8

Answer 2

@Ashleyisakitty

Answer 3

@BlossomCake

Answer 4

@Nnesha

Answer 5

@UsukiDoll

Answer 6

@Misty1212

Answer 7

@Michele_Laino

Answer 8

ok first of all do not spam and mass tag. I wouldn't want you to end up getting a warning or suspended as this is against OpenStudy's Code of Conduct and Terms of Service.

Answer 9

hey your picture is rolanda!

Answer 10

Everyone, I got this question under control, so anyway...
we need to create a chart that looks like

x y = x^2+2x+3

then we just select any x... and solve for that y.... once we have done that, we can pick more x's that will give more y = results and we will have more coordinate points..

For example, if my x = 0

Then

x y = x^2+2x+3
0 y=0^2+2(0) +3
0 y =3

so or first coordinate point is (0,3). You graph that on your scratch paper...

then you let x be any positive or negative number and continue until your graph matches one of the choices you are given.

Answer 11

no please stay i really need help

Answer 12

but there are mods in here and I'm not going to give direct answers... my task as a tutor is to teach and guide, not spoonfeed.

Answer 13

they are here to help too

Answer 14

I already gave you an example on how to solve for this ... please try to understand and attempt the work... then you can answer here and I'll check to see if you're on the right track or not.

Answer 15

i dont understand @UsukiDoll explanation is it possible for someone else to explain it like @ganeshie8 @Michele_Laino

Answer 16

@ganeshie8 @Michele_Laino... did I not just give an example and explain this thoroughly?

Answer 17

u did but im just not understanding it

Answer 18

I think you gave a good explanation @UsukiDoll :)

Answer 19

see....I'm being thrown under the bus here.

Answer 20

im not throwing u under the bus... i have a disease where i need everything to be explained extra cause i cant remember concepts and my brain is messed up cause it hurts to think

Answer 21

its a birth defect... :(

Answer 22

its called Cerebellar Ataxia

Answer 23

@ganeshie8

Answer 24

another way is:
the x-ccordinate of the vertex of a parabola like this:
\[y = a{x^2} + bx + c\]
is:
\[x = - \frac{b}{{2a}}\]
now, by comparison with your parabola, what are the coefficient a, b, and c, and
what is the x-coordinate of the vertex of your parabola?

Answer 25

whats a parabloa

Answer 26

there is more than one way to solve this...maybe that method is too complex for OP?

Answer 27

pleae help me:(

Answer 28

alright.. I'll try again...
what she gave was from College Algebra and seeing as you're not at level yet, we'll go back to what I've just put earlier.

Answer 29

we are given
\[y = x^2 + 2x + 3\] and the question asks which graph is the same as the quadratic equation

Answer 30

I'm sorry, please ignore my hint @barbdewysveck1

Answer 31

please help me :(

Answer 32

what we can do....is to create a table
a table like

x y =x^2+2x+3

Answer 33

so, we can pick any x and plug it in the y=x^2+2x+3

Answer 34

For example, if I pick x = 0. I replace all x's in the y equation
x y=x^2+2x+3
0 y=(0)^2+2(0)+3

0^2, also means 0 written twice (0)(0) = 0
2(0) means 2 x 0 which is also 0

so now we have

0 0+0+3 (we add this together and that's 3)
so you're first coordinate point is (0,3)

Answer 35

so b is the answer

Answer 36

well... we only have one point... we need more than (0,3) for a clearer picture

Answer 37

so we continue by picking another x...
how about if x = 1

so I plug x = 1 into y=x^2+2x+3
1 y=(1)^2+2(1)+3

(1)^2 means (1)(1) = 1 x 1 = 1
2(1) means 2 x 1 and that's 2
so we add up 1+2+3 and we have y = 6
so our next point is (1,6)