quadratics π Flashcards
In mathematics, a quadratic equation is an equation that can be rearranged in standard form as where the variable x represents an unknown number, and a, b, and c represent known numbers, where a β 0. (13 cards)
quadratic equation
ax^2+bx+c=0
quadratic formula
x = βb Β± β(b^2 β 4ac) / 2a
if the parabola is facing down, itβs..
negative!!
if the parabola is facing upwards,
itβs positive!!
in the provided equation y=-x^2-x+3, what is the point where the parabola intersects with the y-axis, and why?
3 because itβs c, the y intercept.
how can i tell if a parabola is neg/pos from its equation?
you can tell by looking at ax^2. is itβs negative it opens down, positive means it opens up.
solving a quadratic equation means
finding values of x which satisfy the equation
quadratic equations can have _ , _ or _ solutions.
two, one or none!
if b=0, the parabola goes throughβ¦
the origin ββ(*οΌΎ-γ)v
the greater the value of a, the _ the curve is.
steeper
does 3xΒ² + 3 pass through the origin
yes because bx is not present meaning it is equal to 0
Vertex form of a quadratic equation
y=a(x-h)^2+k, where (h,k) is the vertex of the parabola
x intercept
x= - b / 2a
