Question

The curve y = |x|² - x² is known as:

a) A parabolic curve
b) An exponential curve
c) A bullet-nose curve
d) A hyperbolic curve

Answer 1

The curve y = |x|² - x² is known as a parabolic curve.

Step-by-step explanation:

The curve y = |x|² - x² is known as a) A parabolic curve.

To understand why this curve is parabolic, we can rewrite the equation as y = x² - x², which simplifies to y = 0. This means that the curve is a horizontal line at the y-axis.

Since the curve is symmetric with respect to the y-axis, it is a parabola. The equation y = |x|² - x² represents a parabolic curve.