The point (2, 15) is in the shaded region of which of the following inequalities?

Question

A) y<-x^2-4x+1
B) y>-2x^2-4x
---(slash under the >)
C) Y<2x^2+3x+1
D) Y>2x^2+3x+1

i got B. :)

Answer 1

point ( 2, 15 ) mean :

x = 2

y = 15

A )

15 < - ( 2 ) ^ 2 - 4 * 2 + 1

15 < - 4 - 8 + 1

15 < - 11

Incorrect

B )

15 > - ( 2 ) ^ 2 - 4 * 2

15 > - 4 - 8

15 > - 12

Correct

C )

15 < 2 * 2 ^ 2 + 3 * 2 + 1

15 < 2 * 4 + 6 + 1

15 < 8 + 6 + 1

15 < 15

Incorrect

D )

15 > 2 * 2 ^ 2 + 3 * 2 + 1

15 > 2 * 4 + 3 * 2 + 1

15 > 8 + 6 + 1

15 > 15

incorrect

Answer : B )