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

Answer:

[tex]y=-3x^2,y=-4x^2,y=-5x^2[/tex]

Step-by-step explanation:

The parabola [tex]y=-ax^2[/tex] opens downwards.

The absolute value of [tex]a[/tex] is used to determine how wide or narrow the graph is.

The larger the absolute value of [tex]a[/tex], the narrower the graph.

The given functions are

[tex]y=-4x^2[/tex], [tex]y=-3x^2[/tex] and [tex]y=-5x^2[/tex].

[tex]|-4|=4[/tex]

[tex]|-3|=3[/tex]

[tex]|-5|=5[/tex]

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

[tex]y=-3x^2,y=-4x^2,y=-5x^2[/tex]

calculista calculista · Answer 2 · 2019-03-30T22:47:52+01:00

calculista calculista

30-03-2019

Answer:

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

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