Question

Find the vertex of the above equation and identify it as a maximum or a minimum.

y=-2+1

A. (x, 0), minimum
B. 0, 1), minimum
C. (0, 1), maximum
D. (x, 0), maximum

Answer 1

The vertex of the equation y = -2x + 1 is (0, 1) and it is a maximum.

So, the correct answer is C.

Step-by-step explanation:

The vertex form of a quadratic equation is given by y = a(x - h)^2 + k, where the vertex is represented by the point (h, k). So, to find the vertex of the equation, we need to rewrite it in vertex form.

Given the equation y = -2x + 1, we can rewrite it as y = -2(x - 0)^2 + 1. Comparing it to the vertex form, we can see that the vertex is at (0, 1). Since the coefficient a is negative, the vertex represents a maximum value.

So, the correct answer is C) (0, 1), maximum.