# What causes parabolas to expand and contract?

Jun 24, 2018

The coefficient of ${x}^{2}$ affects expansion and contraction. See explanation.

#### Explanation:

In the graph $y = a {x}^{2}$, if $a > 1$, the curve looks more "squeezed" and if $0 < a < 1$, the curve looks more "expanded".

$y = {x}^{2}$
graph{x^2 [-10.17, 9.83, -1.04, 8.96]}
$y = 5 {x}^{2}$
graph{5x^2 [-10.25, 9.75, -0.48, 9.52]}
$y = \frac{1}{5} {x}^{2}$
graph{1/5x^2 [-10.29, 9.71, 0.08, 10.08]}

P.S. Sorry if this isn't the answer you were talking for.