# Quadratic Functions: Standard Form Flashcards

1
Q

the three forms of a quadratic function are

A

standard, vertex, intercept

2
Q

the standard form is

A

y+ax^2+bx+c

3
Q

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

A

4
Q

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

A

5
Q

each _____ graph can ____ either up or down

A

Parabola; open

6
Q

the sign of ____ determines which way the graph opens

A

a

7
Q

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

A

maximum or minimum; vertex

8
Q

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

A

parabola; axis of symmetry; vertical; vertex

9
Q

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

A

axis of symmetry; vertical; -b/2a

10
Q

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

A

-b/2a; vertex

11
Q

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

A

x; substitute; equation; y; vertex

12
Q

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

A

parabola; >; down

13
Q

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

A

a; a; smaller

14
Q

a is positive, so the ____ opens ___

A

parabola; up

15
Q

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

A

vertex; table of values

16
Q

we will always choose 2 __ values to the left of the vertex and __ x values to the ___ of the ___

A

x; 2; right; vertex

17
Q

find the 4 remaining ___ values by substituting the x values into the original ____ and solving for ___

A

y; equation; y