MATH SOLVE

3 months ago

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

Accepted Solution

A:

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]

[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]