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