Question

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

Answer 1

In a quadratic function, y = a(x²) the smaller the coefficient "a", the larger is the parabola:
From widest to narrowest:

1) y=1/3x² (Widest)

2) y= -1/2x² (Wider)

3) y=-9x² (narrowest)

Answer 2

Answer:

The parabola represented by equation $y=\frac{1}{3}x^2$ is widest

The parabola represented by equation $y=-\frac{1}{2}x^2$ is wider

and the parabola represented by equation $y=-9x^2$ is narrowest

Step-by-step explanation:

we know that equation of parabola is given as,

$y= ax^2$

Here,

a is a constant which decide the size of parabola

if value of a is larger than the parabola will be wider

here

we have given three parabola

$y=-9x^2, y=\frac{1}{3}x^2, y=\frac{-1}{2}x^2$

and it is clear that

$-9$

Therefore

The parabola represented by equation $y=\frac{1}{3}x^2$ is widest

The parabola represented by equation $y=-\frac{1}{2}x^2$ is wider

and the parabola represented by equation $y=-9x^2$ is narrowest