Question

Which statement describes the equation y=-x²+6x-8?

A. It is a vertical parabola.
B. It is a vertical hyperbola.
C. It is a horizontal parabola.
D. It is a horizontal hyperbola.

Answer 1

The equation y=-x²+6x-8 describes a vertical parabola because it is in quadratic form with a leading coefficient indicating a downward opening.

Step-by-step explanation:

The statement that describes the equation y=-x²+6x-8 is that it represents a vertical parabola. This is because the equation is in the form of y=ax²+bx+c, where a, b, and c are constants, and the coefficient 'a' is negative, indicating the parabola opens downwards. The graph of a linear equation like y=a+bx is a straight line. Thus, answers related to hyperbolas and horizontal lines do not apply.