Quadratic functions

9000007101

Level:

Consider a family

M

of quadratic functions, as shown in the picture. Any quadratic function in this family is given by the analytic expression

y = a x^{2} + b x + c

where

a

b

and

c

are real constants and

a \neq 0

. For each function the set

K

denotes the set of

x

-intercepts. Complete the statement. „The analytic expressions for functions in the family

M

differ only in ....”

the coefficient

a

the coefficient

b

the coefficient

c

the set

K

Level:

Identify a picture which shows graphical solution of the following quadratic inequality, assuming that the solution is the red set.

- x^{2} + x + 2 > 2 x

Level:

Identify the picture which shows solution of

2 x^{2} - 5 x - 3 = 0

by a graphical method.