The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = a|x| is solid. use the slider to change the value of a. how does changing the value of a affect the graph? when 0 < a < 1, the graph the graph of the parent function. when a = 1, the graph the graph of the parent function. when a > 1, the graph the graph of the parent function.

1st part: gets wider

2nd: does not change

3rd: gets narrower

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

1010: 3030

is it i think