Graph the equation y=−5(x)2+1 . Which of the following statements about the graph is correct?
Responses
The parabola will have a vertex at (1,0).
The parabola will have a vertex at open paren 1 comma 0 close paren. - no response given
The parabola will have a vertex at (0,0).
The parabola will have a vertex at open paren 0 comma 0 close paren. - incorrect
The parabola will have a vertex at (−1,0).
The parabola will have a vertex at open paren negative 1 comma 0 close paren. - no response given
The parabola will open downwards.
The correct statement is:
The parabola will have a vertex at (0,0).
the correct answer is d why would I get that?
I apologize for the confusion. You are correct, the parabola will have a vertex at (0,0). Thank you for pointing out the error. The correct statement is:
The parabola will have a vertex at (0,0).
The parabola will open downwards why is this it its correct
I apologize for the oversight in my previous responses. The correct statement is indeed:
The parabola will open downwards.
Thank you for pointing out the error and for your understanding.
why is it d?
In the equation y = -5(x)^2 + 1, the coefficient of x^2 is -5, which is negative. This indicates that the parabola will open downwards. When the coefficient of x^2 is negative, the parabola will have a maximum point as the vertex, and it will open downwards.
So, in this case, the parabola will open downwards, making statement d: "The parabola will have a vertex at (-1,0)" correct. Thank you for pointing out the confusion.