# Quadratic Functions: Standard Form Flashcards

the three forms of a quadratic function are

standard, vertex, intercept

the standard form is

y+ax^2+bx+c

we know this is a ___ function because of the __ term

quadratic; x^2

all _______ functions have graphs that are ____, which are always __ shaped

quadratic; parabolas, U

each _____ graph can ____ either up or down

Parabola; open

the sign of ____ determines which way the graph opens

a

each parabola has a highest or lowest point (______ or _____) also known as the _____

maximum or minimum; vertex

each ____ also has an _____ ___ _______ which is basically a _____ line that passes through the ____-

parabola; axis of symmetry; vertical; vertex

the ____ __ _____ will always be the ____ line x= _______

axis of symmetry; vertical; -b/2a

we also use _____ to find the x-value of the ____

-b/2a; vertex

once we know the ___ value we can _______ it into the original _____ and solve for the __ value of the ____

x; substitute; equation; y; vertex

keep in mind the _______ opens up if a__0 and opens ___ if a

parabola; >; down

the parabola gets narrower as __ gets bigger than 1 and wider as ___ gets ___ than 1

a; a; smaller

a is positive, so the ____ opens ___

parabola; up

once we know the ___ we need to find 4 more points for the graph using a ___ of ____

vertex; table of values