The standard form is written as y = ax ^2 + b + c
Using the given equation:
A = -5, b = 30 and c = 7
The x value of the vertex = -b/ 2/a = -30/2(-5) = -30/-10 = 3
To find the y value replace x with the x value and solve for y:
Y = -5(3)^2 + 30(3) + 7
Y = -45 + 90 + 7
Y = 52
The vertex is (3,52)
The answer is G