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

Widest to narrowest

`y=-(1)/(5)x^2` -
`y=-(1)/(3)x^2` -
`y=-7x^2`

Explanation:

Given : Graph 1 -
`y=-7x^2`

Graph 2-
`y=-(1)/(5)x^2`

Graph 3 -
`y=-(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=-(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=-(1)/(5)x^2` -
`y=-(1)/(3)x^2` -
`y=-7x^2`