Question

Rico is asked to graph a parabola given the equation y=−x2−2x
𝑦
=
−
𝑥
2
−
2
𝑥
. At which point would he graph the vertex of the parabola?(1 point)
Responses

(−1,1)
(
−
1
,
1
)

left parenthesis negative 1 comma 1 right parenthesis

(1,2)
(
1
,
2
)

left parenthesis 1 comma 2 right parenthesis

(−1,0)
(
−
1
,
0
)

left parenthesis negative 1 comma 0 right parenthesis

(−1,2)
(
−
1
,
2
)

left parenthesis negative 1 comma 2 right parenthesis

Answer 1

(−1, 1)

Reason: y = −x^2 − 2x = −(x^2 + 2x) = −[(x+1)^2 − 1] = −(x+1)^2 + 1, so the vertex is at (−1, 1).