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please help ill give medals and whatever you need!
ok, think of a factorable equation
like f(x) = 4 – x^2?
sure. now factor it
how exactly? im really sorry if i sound stupid i am just fried from all of my work
lets try an easier equation to factor, so its easier to explain
how about y = x^2 + x - 2
so how would i factor it?
dont tell me the answer though please
im still a little confused... so i add 1 to two numbers?
find two numbers that when they are added together you get 1 and when multiplied together you get -2
Think of 2 numbers that multiply together to produce -2
-1 and -2?
-1 x -2 = 2
so that doesn't work
sorry -1 and2
ok, now add them together
So the equation factors into the form (x+2)(x-1)
then what do i do?
now we can answer the first set of questions
The equation in standard form is y = x^2 + x - 2
that is part 1 right?
What do you think the benefits of standard form are?
it makes it simpler
it simplifies it?
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
That's mostly all you can get from standard form
so for part b i have to write it in factored form?
The function opens up because x^2 is positive
The height of the vertex is -2
how do i write it in factored form?
you already did
The benefits of factored form is that it tells you where the roots of the equation are. In this case -2 and 1
sorry i gotta go
thats okay thank you so much for all your help!