converting into general form

[south wraith]

I’m taking a quiz and my teachers are out of office so i can’t ask them for help I tried YouTube but I still don’t know how to convert this into general from

[slim lava]

by general do you mean vertex form?

if so just rewrite all parts of the equation on one side and complete the square

[south wraith]

I’m not sure my teacher calls the math problem general form and this is the only example I have that the teacher gave out

[slim lava]

by general form is it like

y = a(x-h)^2 + k

[slim lava]

thats another form to find it by finding the roots

[south wraith]

Oh

How will I do that

[slim lava]

well

factor

thats all you have to do if you want it in terms of the roots

[south wraith]

Ok

[slim lava]

is this the general form you are talking about

I just want to make sure I don't tell you a form different from what your teacher wants

[south wraith]

No it’s not the form sadly

[slim lava]

oh

is it (x-a)(x-b)

factored form?

or just ax^2 + bx + c

standard form

[thorn tide]

the general form would be
x²+5x+6=0

[torpid crater]

yes the general form is also called standard form and is in the form ax^2+bx+c=0, so you can reach this by adding x^2 and 6 to both sides to get x^2+5x+6=0. This form can help you determine the y-intercept (which is c - or in this case (0,6)) and the direction in which the parabola opens. Because a is positive, it opens facing up