Which of the following translations is needed to carry ΔEFG onto its image ΔE'F'G'? A. (x, y) →(x + 4, y − 11)
B. (x, y) →(x − 4, y + 11)
C. (x, y) →(x + 11, y − 4)
D. (x, y) →(x − 11, y + 4)

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.

16 is the absolute value

step-by-step explanation:

thus, the first answer choice, y = sec x, is the correct one