Question

Esmeralda is graphing a polynomial function as a parabola. Before she begins graphing it, explain how to find the vertex. Make sure you include how to determine if it will be a maximum or minimum point. Use an example quadratic function to help you explain and provide its graph.

Answer 1

@PaxPolaris @sleepyhead314 @TheSmartOne

Answer 2

umm two ways
first way is to find the line of symmetry then plug that x value into the function and get the y value of the vertex point
the other way is to complete the square and get it into the vertex form y = (x - h)^2 + k
where (h, k) is the vertex point

Answer 3

Would that be all, if I were to use that to answer?

Answer 4

no, I'm asking you to choose a method first for your answer

Answer 5

Sure :)

Answer 6

If your equation is in standard form, then the formula for the axis of symmetry is:
x = -b/2a from the general standard form equation y = ax2+bx + c

Answer 7

Could I say that there are 2 ways?

Answer 8

mmm sure :)

Answer 9

and maximum/minimum of a vertex point depends on if the coefficient of x
(the number attached to the x) is positive or negative
if it is positive, then the vertex is a minimum
if it is negative, then the vertex is a maximum

Answer 10

Could my answer be:

There are 2 ways to find the vertex. The first way is to find the line of symmetry then plug that x value into the function and get the y value of the vertex point. The other way is to complete the square and get it into the vertex form y = (x - h)^2 + k where (h, k) is the vertex point. If your equation is in standard form, then the formula for the axis of symmetry is: x = -b/2a from the general standard form equation y = ax2+bx + c. Also, and maximum/minimum of a vertex point depends on if the coefficient of x
(the number attached to the x) is positive or negative: if it is positive, then the vertex is a minimum or if it is negative, then the vertex is a maximum.

Answer 11

I guess *shrugs* I don't know what your teacher wants... I'm just giving you what you need to answer the question
whoops and I forgot a carrot in the standard form it's y = ax^2 + bx + c

Answer 12

It's ok, would the answer above answer all of the questions asked?

Answer 13

all of it except for the example part

Answer 14

What part is the example part?

Answer 15

Use an example quadratic function to help you explain and provide its graph.

Answer 16

Ahh.. do we need it or do I need to remove it?

Answer 17

I can give you an example
but you're going to have to try to do that explaining and graphing yourself :P

Answer 18

x^2 + 5x + 4 = y

Answer 19

Hmm... what would I have to explain?

Answer 20

how to get the vertex from that and if it is a maximum or minimum

Answer 21

Can you please help me do that?

Answer 22

using the information I gave can you find the line of symmetry?