Question

Order the equations in order from the widest parabola to the narrowest.

= y = z²
= y = 3z²
= y = - 2z²
= y = -.5z²

Answer 1

The order of the equations from the widest parabola to the narrowest is:

1. y = - 2z²
   (the coefficient of z² is negative, indicating a downward opening parabola, which is wider than upward opening parabolas with positive coefficients)
2. y = -.5z²
   (the coefficient is smaller than 1, indicating a narrower parabola than the previous equation)
3. y = z²
   (the coefficient is 1, which indicates a standard parabola)
4. y = 3z²
   (the coefficient is greater than 1, indicating a wider parabola than the previous equation)