Unit 2 Quiz (11/15/2023) Flashcards
parabola
a graphed quadratic function - a curve in which all points are all equidistant from the aos (which runs through the vertex)
axis of symmetry (aos)
the line going through the center of a parabola, passes through the vertex
vertex
the minimum or maximum point of a parabola
root, zero, solution
the x-intercepts of a parabola
standard form
f(x) = ax^2 + bx + c
vertex form
f(x) = a(x – h)^2 + k
factored form
f(x) = a(x + r1)(x + r2)
zero product property
if ab = 0, either a = 0 and/or b = 0
common factor (factoring)
each term has common factor (number and/or variable), any number of terms
difference of squares (factoring)
first and last terms are perfect squares, only two terms
perfect square trinomial (factoring)
first and last terms are perfect squares, only three terms
x^2 + bx + c (factoring)
roots sum to b, and c is the product of roots, only three terms
ax^2 + bx + c (factoring)
a is any number except 1, roots sum to b, and c is the product of roots, only three terms
factor by grouping (factoring)
rearrange the order if the first two terms do not have a common factor, only four terms
minimum
vertex of a parabola with a positive curve