For the function y = -2x2 + 4x + 1, what are the coordinates of the vertex?

(1,3)

Step-by-step explanation:

The given function is

Factor 2 from the first two terms

Add and subtract the square of half the coefficient of x.

Let us create perfect square trinomial

This implies that:

Therefore the vertex is (1,3).

We got this by comparing to

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a