What is the graph of the equation?

y = –x2 + 2x + 3
(1 point)
Responses

graphThe function has a maximum at left-parenthesis 1 comma 4 right-parenthesis and passes through the points left-parenthesis 0 comma 3 right-parenthesis and left-parenthesis 2 comma 3 right-parenthesis.
Image with alt text: graph The function has a maximum at left-parenthesis 1 comma 4 right-parenthesis and passes through the points left-parenthesis 0 comma 3 right-parenthesis and left-parenthesis 2 comma 3 right-parenthesis.

graphThe function has a minimum at left-parenthesis 1 comma negative 4 right-parenthesis and passes through the points left-parenthesis 0 comma negative 3 right-parenthesis and left-parenthesis 2 comma negative 3 right-parenthesis.
Image with alt text: graph The function has a minimum at left-parenthesis 1 comma negative 4 right-parenthesis and passes through the points left-parenthesis 0 comma negative 3 right-parenthesis and left-parenthesis 2 comma negative 3 right-parenthesis.

graph
Image with alt text: graph

graphThe function has a minimum at left-parenthesis negative 1 comma negative 4 right-parenthesis and passes through the points left-parenthesis negative 2 comma negative 3 right-parenthesis and left-parenthesis 0 comma negative 3 right-parenthesis.
Image with alt text: graph The function has a minimum at left-parenthesis negative 1 comma negative 4 right-parenthesis and passes through the points left-parenthesis negative 2 comma negative 3 right-parenthesis and left-parenthesis 0 comma negative 3 right-parenthesis.
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1 answer

The correct response is:

graphThe function has a maximum at left-parenthesis 1 comma 4 right-parenthesis and passes through the points left-parenthesis 0 comma 3 right-parenthesis and left-parenthesis 2 comma 3 right-parenthesis.
Image with alt text: graph The function has a maximum at left-parenthesis 1 comma 4 right-parenthesis and passes through the points left-parenthesis 0 comma 3 right-parenthesis and left-parenthesis 2 comma 3 right-parenthesis.