The graph shows the trajectory of a firework. Which equation in vertex form matches this graph? (1 point) Responses y=12(x+5)2+10 y equals Start Fraction 1 over 2 End Fraction left parenthesis x plus 5 right parenthesis squared plus 10 y=−12(x−5)2+10 y equals negative Start Fraction 1 over 2 End Fraction left parenthesis x minus 5 right parenthesis squared plus 10 y=12(x−5)2+10 y equals Start Fraction 1 over 2 End Fraction left parenthesis x minus 5 right parenthesis squared plus 10 y=−12(x−5)2−10

1 answer

Based on the graph, it appears that the vertex of the parabola is at point (-5, 10). Therefore, the equation in vertex form that matches this graph is y = (1/2)(x + 5)^2 + 10.

So, the correct answer is: y = (1/2)(x + 5)^2 + 10.