anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
please help ill give medals and whatever you need!
anonymous
  • anonymous
ok, think of a factorable equation
anonymous
  • anonymous
like f(x) = 4 – x^2?

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anonymous
  • anonymous
sure. now factor it
anonymous
  • anonymous
how exactly? im really sorry if i sound stupid i am just fried from all of my work
anonymous
  • anonymous
lets try an easier equation to factor, so its easier to explain
anonymous
  • anonymous
like y=x^2-4?
anonymous
  • anonymous
how about y = x^2 + x - 2
anonymous
  • anonymous
ok
anonymous
  • anonymous
so how would i factor it?
anonymous
  • anonymous
dont tell me the answer though please
anonymous
  • anonymous
|dw:1433104641649:dw|
anonymous
  • anonymous
im still a little confused... so i add 1 to two numbers?
anonymous
  • anonymous
find two numbers that when they are added together you get 1 and when multiplied together you get -2
anonymous
  • anonymous
Think of 2 numbers that multiply together to produce -2
anonymous
  • anonymous
-1 and -2?
anonymous
  • anonymous
-1 x -2 = 2
anonymous
  • anonymous
so that doesn't work
anonymous
  • anonymous
sorry -1 and2
anonymous
  • anonymous
ok, now add them together
anonymous
  • anonymous
1?
anonymous
  • anonymous
correct
anonymous
  • anonymous
So the equation factors into the form (x+2)(x-1)
anonymous
  • anonymous
* y=(x+2)(x-1)
anonymous
  • anonymous
then what do i do?
anonymous
  • anonymous
now we can answer the first set of questions
anonymous
  • anonymous
ok
anonymous
  • anonymous
The equation in standard form is y = x^2 + x - 2
anonymous
  • anonymous
that is part 1 right?
anonymous
  • anonymous
What do you think the benefits of standard form are?
anonymous
  • anonymous
ya
anonymous
  • anonymous
it makes it simpler
anonymous
  • anonymous
no
anonymous
  • anonymous
it simplifies it?
anonymous
  • 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
  • anonymous
That's mostly all you can get from standard form
anonymous
  • anonymous
|dw:1433105679504:dw|
anonymous
  • anonymous
so for part b i have to write it in factored form?
anonymous
  • anonymous
The function opens up because x^2 is positive
anonymous
  • anonymous
|dw:1433105740545:dw|
anonymous
  • anonymous
The height of the vertex is -2
anonymous
  • anonymous
how do i write it in factored form?
anonymous
  • anonymous
you already did
anonymous
  • 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
  • anonymous
|dw:1433105910917:dw|
anonymous
  • anonymous
sorry i gotta go
anonymous
  • anonymous
thats okay thank you so much for all your help!

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