Question

HELP PLEASE WILL MEDAL AND FAN
A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below and explain why
a. factor the equation
b. graph the parabola
c. identify the vertex minimum or maximum of the parabola
d. solve the equation using the quadratic formula

Answer 1

@3mar

Answer 2

Well, I am here.

Answer 3

Hello. Can you help me with this?

Answer 4

Tell me
What did you get?

Answer 5

I was thinking vertex form for letter c of course but it's hard for me to put the rest of the reasons into words

Answer 6

Of course.
With my pleasure!

Answer 7

what for a?

Answer 8

It's basically asking which form can help get all of those

Answer 9

I know
I want: What did you pick?

Answer 10

Vertex

Answer 11

Look!

Answer 12

When you want to factor this equation, is it easy to take it at that form:
\[x^2+x+\] or at this form:
\[(x+3)(x+2)=0\]???

Answer 13

The second form

Answer 14

Great! and the second form called: ???

Answer 15

Standard...??

Answer 16

No...vertex form

Answer 17

Oh >.< Sorry

Answer 18

So sorry
the vertex form is like that:
\[y=a(x+b)^2+c.....no.....y=(x+a)(x+b)\]

Answer 19

Oh yes. So that makes it easier for factoring

Answer 20

What about graphing?

Answer 21

http://www.mathwarehouse.com/geometry/parabola/images/standard-vertex-forms.png

Answer 22

So vertex makes graphing easier by finding the exact plots?

Answer 23

Correct!

Answer 24

Now I just need to know c and d

Answer 25

and for a. factor the equation : it the standard form as it is easy to factor that vertex form

Answer 26

Right, C?

Answer 27

What do you think?

Answer 28

for graphing: the vertex of course, because it is easy to determine the head of the graph and axis of symmetry ...

Answer 29

Since i can find the exact points in graphing I would fine my minimum and max that way too?

Answer 30

and you can find them also from the quadratic equation also, but what form do you think it is easier ?

Answer 31

Vertex

Answer 32

why?

Answer 33

because since it's easier factoring I could find my solution easier?

Answer 34

are we talking about D?

Answer 35

Yes

Answer 36

do you know how to solve it using the quadratic formula?

Answer 37

do you know the quadratic formula?

Answer 38

Yes

Answer 39

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