Question

Order the group of quadratic functions from widest to narrowest graph. y= -4x2, y = -3x2, y = -5x2

Answer 1

To easily find this solution, we can easily use a graphing tool or a calculator, and compare the behaviour of each graph.

Please se attached picture for more information.

Based on the picture, we can see that

The widest graph corresponds to y = -3x^2

The narrowest graph corresponds to y = -5x^2

Widest to narrowest

y = -3x^2

y= -4x^2

y= -5x^2

Answer 2

Answer:


`y=-3x^2,y=-4x^2,y=-5x^2`

Explanation:

The parabola
`y=-ax^2` opens downwards.

The absolute value of
`a` is used to determine how wide or narrow the graph is.

The larger the absolute value of
`a`, the narrower the graph.

The given functions are


`y=-4x^2`,
`y=-3x^2` and
`y=-5x^2`.


`|-4|=4`


`|-3|=3`


`|-5|=5`

Since, 3<4<5,the order of the given quadratic functions from widest to narrowest is


`y=-3x^2,y=-4x^2,y=-5x^2`