Question

Graph the equation y=−5(x)^(2)+1
. Which of the following statements about the graph is correct?(1 point)
Responses

The parabola will have a vertex at (1,0)
.
The parabola will have a vertex at left parenthesis 1 comma 0 right parenthesis .

The parabola will have a vertex at (−1,0)
.
The parabola will have a vertex at left parenthesis negative 1 comma 0 right parenthesis .

The parabola will open downwards.
The parabola will open downwards.

The parabola will have a vertex at (0,0)
.
The parabola will have a vertex at left parenthesis 0 comma 0 right parenthesis .

Answer 1

"The parabola will open downwards."

Reason: y = -5x^2 + 1 has leading coefficient -5 < 0, so it opens downward. Its vertex is at (0, 1) (not any of the listed points).