CHAPTER 8: QUADRATIC FUNCTIONS Flashcards
1
Q
General Quadratic function
A
f(x) = ax^2 + bx + c
a is nonzero
2
Q
quadratic function graph is always a _ shape
A
parabola
3
Q
parabola
A
U-shaped figure that opens with upwards or downwards
4
Q
when does a parabola open upwards
A
a>0
5
Q
when does a parabola open downwards
A
a<0
6
Q
y-intercept in quadratic function
A
c
7
Q
x-intercepts of quadratic functions
A
real zeros of f
8
Q
do quadratic functions have to have 0s?
A
no
9
Q
discriminate
A
b^2-4ac
10
Q
what are the zeros of f
A
roots of the quadratic equation
11
Q
If discriminate is >0, how many roots?
A
2
12
Q
If discriminate is = 0, how many roots?
A
1
13
Q
If discriminate is <0, how many roots?
A
0
14
Q
vertex/standard form of quadratic quesiton
A
f(x) = a(x-h)^2+k
a is nonzero
15
Q
How to convert vertex/standard form to general form
A
completing the square
