Use the image to answer the question.

Question

A coordinate plane shows a parabola that opens downward. The x-axis ranges from 0 to 15 in increments of 5. The y-axis ranges from 0 to 15 in increments of 5.

The graph shows the trajectory of a firework. Which equation in vertex form matches this graph?

Responses

y=12(x+5)2+10
y is equal to 1 half times open paren x plus 5 close paren squared plus 10 - incorrect

y=−12(x−5)2−10
y is equal to negative 1 half times open paren x minus 5 close paren squared minus 10 - no response given

y=12(x−5)2+10
y is equal to 1 half times open paren x minus 5 close paren squared plus 10 - no response given

y=−12(x−5)2+10
y is equal to negative 1 half times open paren x minus 5 close paren squared plus 10 - not selected, this is the correct answer
Score

Answer 1

1/4 - The correct equation in vertex form that matches the graph is y=-1/2(x-5)^2+10.

Answer 2

why is the correct answer d

Answer 3

The parabola shown in the graph opens downward, which means the coefficient of the squared term in the vertex form equation should be negative. In option d, y=-1/2(x-5)^2+10, the coefficient in front of (x-5)^2 is -1/2, indicating that the parabola opens downward. Therefore, option d is the correct answer.