math 2: quadratic functions Flashcards
1
Q
standard equation:
A
P(x) = ax² + bx + c
2
Q
x coordinate of the vertex: h =
A
-b/ 2a
3
Q
substituting h for x gets k = (c-b²)/ 4a,
A
y- coordinate of the vertex
4
Q
domain of a quadratic function
A
all real numbers
5
Q
range of a quadratic function:
A
all real numbers greater than minimum (if a > 0) or less than minimum (if a
6
Q
positive discriminant→
A
2 real roots
7
Q
discriminant = 0→
A
one root of multiplicity 2
8
Q
negative discriminant→
A
conjugate pair of imaginary roots
9
Q
sum of the roots of a quadratic equation→
A
-b/a
10
Q
product of roots of a quadratic equation→
A
c/a
