Convert the following quadratic function to standard form y = ax^2 + bx + c and identify the values of a, b, and c.
y = (4x - 1) (3x - 7)
a =
b =
c =
To convert the given quadratic function to standard form, we first need to multiply the two binomials:
y = (4x - 1)(3x - 7)
y = 4x * 3x - 4x * 7 - 1 * 3x + 1 * 7
y = 12x^2 - 28x - 3x + 7
y = 12x^2 - 31x + 7
Now, we identify the values of a, b, and c:
a = 12
b = -31
c = 7
Therefore, the standard form of the quadratic function is y = 12x^2 - 31x + 7, with a = 12, b = -31, and c = 7.