Question

In the equation y = 2 - (x - 3)^2, what is the value of x?

a) x = 1
b) x = 2
c) x = 3
d) x = 4

Answer 1

The equation y = 2 - (x - 3)^2 describes a parabola with vertex (3, 2), but without additional information, we cannot determine the value of x from the provided options.We need additional information such as a specific y-value to find the corresponding x-values.

Step-by-step explanation:

The question asks to determine the value of x in the equation y = 2 - (x - 3)^2. This is not a direct inquiry for solving for x; instead, it implies finding the x-coordinate of the vertex of the parabola defined by the given equation. The given equation is in vertex form y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Here, the vertex is at (h, k) = (3, 2). Since the question does not provide the value of y we're solving for nor a context for selecting one of the given options, we cannot determine the value of x solely based on the provided equation. We need additional information such as a specific y-value to find the corresponding x-values.