Quadratic Functions: Standard Form

Question 1

the three forms of a quadratic function are

Answer 1

standard, vertex, intercept

Question 2

the standard form is

Answer 2

y+ax^2+bx+c

Question 3

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

Answer 3

quadratic; x^2

Question 4

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

Answer 4

quadratic; parabolas, U

Question 5

each _____ graph can ____ either up or down

Answer 5

Parabola; open

Question 6

the sign of ____ determines which way the graph opens

Answer 6

a

Question 7

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

Answer 7

maximum or minimum; vertex

Question 8

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

Answer 8

parabola; axis of symmetry; vertical; vertex

Question 9

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

Answer 9

axis of symmetry; vertical; -b/2a

Question 10

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

Answer 10

-b/2a; vertex

Question 11

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

Answer 11

x; substitute; equation; y; vertex

Question 12

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

Answer 12

parabola; >; down

Question 13

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

Answer 13

a; a; smaller

Question 14

a is positive, so the ____ opens ___

Answer 14

parabola; up

Question 15

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

Answer 15

vertex; table of values

Question 16

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

Answer 16

x; 2; right; vertex

Question 17

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

Answer 17

y; equation; y