Write the equation of the quadratic function with roots -2 and 4 and a vertex at (1, 9)
algebra 2 !

The equation of a quadratic function with roots -2 and 4 is given by:
(x + 2)(x - 4) = 0
x^2 - 4x + 2x - 8 = 0
x^2 - 2x - 8 = 0
f(x) = x^2 - 2x - 8

Since the vertex is at point (1, 9) which is above the roots. This means that the parabola representing the function is facing down and the leading coeficient is negative.
Therefore the function becomes:
f(x) = -(x^2 - 2x - 8)
f(x) = -x^2 + 2x + 8

I’m going to infer you said parallel.solve for yy= -1/2x+7/4lines that are parallel have the same slope, different y intercept.so we know m is -1/2then from there solve for y intercept.