Question

order the group of quadratic functions from widest to narrowest graph

y=-7x^2
y=-1/5x^2
y=-1/3x^2

Answer 1

y=-1/5x^2
y=-1/3x^2
y=-7x^2

Answer 2

Answer:

Widest to narrowest

$y=-\frac{1}{5}x^2$ -  $y=-\frac{1}{3}x^2$ - $y=-7x^2$                  

Step-by-step explanation:

Given :  Graph 1 - $y=-7x^2$

Graph 2- $y=-\frac{1}{5}x^2$

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

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

Solution :

First we plot the given graph,

Refer the attached figure below.

In the graph, we see that all graph has same vertices (0,0) and

Graph 2 with green in color  $y=-\frac{1}{5}x^2$ is the most widest graph among all.

Then graph 3 with purple in color is the widest and then graph 1 with blue in color is the most narrowest graph.

So, The order of the graph from widest to narrowest is

Graph 2 - Graph 3 - Graph 1

$y=-\frac{1}{5}x^2$ -  $y=-\frac{1}{3}x^2$ - $y=-7x^2$