Question

Determine the domain and range of the quadratic function f(x)=−6(x+1)^(2)−9
.(1 point)
Responses

domain R
; range y≤−9

domain the real numbers ; range y less-than-or-equal-to negative 9

domain R
; range y≥9

domain the real numbers ; range y is greater than or equal to 9

domain R
; range y≤9

domain the real numbers ; range y less-than-or-equal-to 9

domain R
; range y≥−9

domain the real numbers ; range y is greater than or equal to negative 9

Answer 1

domain = all real numbers; range = y ≤ −9.

Reason: vertex at (−1, −9), parabola opens downward (coefficient −6 < 0), so maximum −9 and all smaller values occur.