Question

The equation y =(x² - 4x - 21 represents what type of conic section?

a. Circle
b. Ellipse
c. Parabola
d. Hyperbola

Answer 1

The equation
`y = x² - 4x - 21` represents a parabola.

Step-by-step explanation:

The equation
`y = x² - 4x - 21` represents a parabola. A parabola is a conic section that is a U-shaped curve. It is formed by the intersection of a plane and a cone. The general equation for a parabola is
`y = ax² + bx + c`, where a, b, and c are constants. In this case, the equation
`y = x² - 4x - 21`is in the general form of a parabola equation. Therefore, the given equation represents a parabola.