math 2: quadratic functions

Question 1

standard equation:

Answer 1

P(x) = ax² + bx + c

Question 2

x coordinate of the vertex: h =

Answer 2

-b/ 2a

Question 3

substituting h for x gets k = (c-b²)/ 4a,

Answer 3

y- coordinate of the vertex

Question 4

domain of a quadratic function

Answer 4

all real numbers

Question 5

range of a quadratic function:

Answer 5

all real numbers greater than minimum (if a > 0) or less than minimum (if a

Question 6

positive discriminant→

Answer 6

2 real roots

Question 7

discriminant = 0→

Answer 7

one root of multiplicity 2

Question 8

negative discriminant→

Answer 8

conjugate pair of imaginary roots

Question 9

sum of the roots of a quadratic equation→

Answer 9

-b/a

Question 10

product of roots of a quadratic equation→

Answer 10

c/a