I hate Algebra

1744255096

this is for quadratics!!! idk if there's anything else you'd need. i also have no idea if any of this makes sense, but this is what we learned in alg 3 sooo... i don't know lol

a quadratic is a function, meaning that you can only have one y value for every x value

the standard form of a quadratic is ax^2 + bx + c = 0

you can find the x intercepts (the real zeros) by factoring (usually)
if you find that you can't factor, you need to use the quadratic formula
the quadratic formula is (-b ± √(b^2 - 4(a)(c)))/2(a))
you need to do that equation twice unless the discriminant is equal to 0 or a negative number
the discriminant (b^2 - 4(a)(c)) determines the validity of your solutions
- a positive number means that there are two real solutions
- 0 means that there is one real solution
- and a negative number means that there are two imaginary/complex solutions OR that there are no real solutions

if the variable a is positive, the graph has a "u" shape. if the variable a is negative, the graph has an "n" shape

i don't know if you need to know this but vertex form is a(x - h)^2 + k
(x, k) is the vertex and the axis of symmetry is the value x. also the vertex is the point of the quadratic or the peak

if you need to calculate the vertex of the quadratic, you need to use the vertex formula (this will tell you where the vertex is just in case you needed to know)
(-b/2(a))
the variables a and b are from the standard form. you need to do this thing once for the x value of the vertex. and then you need to take the x value and replace it with the x in the standard form for the y value of the vertex

Report Comment