Convert the following quadratic function to standard form y = ax^2 + bx + c and identify the values of a, b, and c.
y = -2(x - 4)^2 + 12
a =
b =
c =
To convert the given quadratic function to standard form y = ax^2 + bx + c, we expand the expression by completing the square:
y = -2(x - 4)^2 + 12
y = -2(x^2 - 8x + 16) + 12
y = -2x^2 + 16x - 32 + 12
y = -2x^2 + 16x - 20
Therefore, in standard form:
a = -2
b = 16
c = -20