Question

If someone would help me answer this question, I'll be glad to medal or fan; both.
Identify the maximum or minimum value and the domain and range of the graph of the function
y = 2(x + 2)2 - 3





A.
minimum value: 3
domain: all real numbers 3
range: all real numbers



B.
maximum value: -3
domain: all real numbers ≤ 3
range: all real numbers




C.
maximum value: 3
domain: all real numbers
range: all real numbers ≤ 3



D.
minimum value: -3
domain: all real numbers
range: all real numbers ≥ -3

Answer 1

\[y=2 (x+2)^2 -3\]

Answer 2

??

Answer 3

see (x+2)^2>=0

Answer 4

so 2(x+2)^2>=0

Answer 5

implies 2(x+2)^2-3>=-3

Answer 6

so minimum value is -3

Answer 7

I guess you can say the answer now.

Answer 8

obviously x can take any real value and so the domain is the set of all real numbers,..

Answer 9

@emmaleelooney