Create a quadratic equation in standard form that can be factored.
Write your equation in standard form. Use complete sentences to explain the benefits of writing your equation in standard form.
Write your equation in factored form. Use complete sentences to explain the benefits of writing your equation in factored form.
Write your equation in vertex form. Use complete sentences to explain the benefits of writing your equation in vertex form.
Explain how all three forms can be used together to help you graph a quadratic function. Graph your function, and label the y-inter

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- anonymous

please help ill give medals and whatever you need!

- anonymous

ok, think of a factorable equation

- anonymous

like f(x) = 4 – x^2?

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- anonymous

sure. now factor it

- anonymous

how exactly? im really sorry if i sound stupid i am just fried from all of my work

- anonymous

lets try an easier equation to factor, so its easier to explain

- anonymous

like y=x^2-4?

- anonymous

how about y = x^2 + x - 2

- anonymous

ok

- anonymous

so how would i factor it?

- anonymous

dont tell me the answer though please

- anonymous

|dw:1433104641649:dw|

- anonymous

im still a little confused... so i add 1 to two numbers?

- anonymous

find two numbers that when they are added together you get 1
and when multiplied together you get -2

- anonymous

Think of 2 numbers that multiply together to produce -2

- anonymous

-1 and -2?

- anonymous

-1 x -2 = 2

- anonymous

so that doesn't work

- anonymous

sorry -1 and2

- anonymous

ok, now add them together

- anonymous

1?

- anonymous

correct

- anonymous

So the equation factors into the form (x+2)(x-1)

- anonymous

* y=(x+2)(x-1)

- anonymous

then what do i do?

- anonymous

now we can answer the first set of questions

- anonymous

ok

- anonymous

The equation in standard form is y = x^2 + x - 2

- anonymous

that is part 1 right?

- anonymous

What do you think the benefits of standard form are?

- anonymous

ya

- anonymous

it makes it simpler

- anonymous

no

- anonymous

it simplifies it?

- anonymous

It lets you know that the equation is a quadratic: x^2.
The value on the x^2 lets you know the width of the curve.
If x^2 is negative the curve opens down, positive opens up.
The -2 lets us know what the height of the vertex is. In this case -2

- anonymous

That's mostly all you can get from standard form

- anonymous

|dw:1433105679504:dw|

- anonymous

so for part b i have to write it in factored form?

- anonymous

The function opens up because x^2 is positive

- anonymous

|dw:1433105740545:dw|

- anonymous

The height of the vertex is -2

- anonymous

how do i write it in factored form?

- anonymous

you already did

- anonymous

The benefits of factored form is that it tells you where the roots of the equation are. In this case -2 and 1

- anonymous

|dw:1433105910917:dw|

- anonymous

sorry i gotta go

- anonymous

thats okay thank you so much for all your help!

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