Question

Order the quadratic functions from widest to narrowest graph. y=4x^2 y=2x^2 y= 0.15x^2

Answer 1

ANSWER

$y=0.15x^2, y=2x^2,y=4x^2$

EXPLANATION

The given quadratic functions are;

$y = 4 {x}^{2}$
$y = 2 {x}^{2}$
and

$y = 0.15 {x}^{2}$

A fractional coefficient indicates a horizontal stretch.

The smaller the coefficient, the wider the stretch for
$|a| < 1$
and

$a \ne0$

Also
$|a| > 1$
indicates a horizontal compression.

The higher the value the narrower the graph.


Therefore from widest to narrowest, we have,

$y=0.15x^2, y=2x^2,y=4x^2$

See graph.