PLEASE HELP

Order the group of quadratic functions from widest to narrowest graph.

y= ⅖ x^2 ; y= -½ x^2 ; y= 5/2 x^2

Question

PLEASE HELP

Order the group of quadratic functions from widest to narrowest graph.

y= ⅖ x^2 ; y= -½ x^2 ; y= 5/2 x^2

nincompoop · Answer

the leading coefficient tells you how wide or how narrow the parabola is

anonymous · Answer

thank you!

nincompoop · Answer

All parabolas are symmetric with respect to a line called the axis of symmetry, or
simply the axis of the parabola.
- Larson et al.

nincompoop · Answer

the coefficient determines how widely the parabola given  opens. If the absolute value of the coefficient is small, the parabola opens more widely than if the absolute value is large

nincompoop · Answer

it can be understood visually by realizing that the steepness goes up or down very sharply when the coefficient is higher