Answer:
Yes
Explanation:
Yes, the equation y = -x^2 + 3 represents a function.
A function is a mathematical relationship in which each input (x-value) is associated with exactly one output (y-value). In the given equation, for every x-value we plug in, we can determine a unique corresponding y-value.
The equation y = -x^2 + 3 is a quadratic function, where the output (y) is determined by the input (x) squared, multiplied by -1, and then added to 3. Since each x-value produces a single y-value, the equation satisfies the definition of a function.
It is important to note that the graph of this function will be a downward-opening parabola, as the negative coefficient in front of x^2 indicates a reflection over the x-axis.