avocadomusickat avocadomusickat
  • 07-02-2019
  • Mathematics
contestada

order the quadratic functions from widest to narrowest graph. y=4x^2 y=2x^2 y= 0.15x^2

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 16-02-2019
ANSWER

[tex]y=0.15x^2, y=2x^2,y=4x^2[/tex]

EXPLANATION

The given quadratic functions are;

[tex]y = 4 {x}^{2} [/tex]
[tex]y = 2 {x}^{2} [/tex]
and

[tex]y = 0.15 {x}^{2} [/tex]

A fractional coefficient indicates a horizontal stretch.

The smaller the coefficient, the wider the stretch for
[tex] |a| < 1[/tex]
and

[tex]a \ne0[/tex]

Also
[tex] |a| > 1[/tex]
indicates a horizontal compression.

The higher the value the narrower the graph.


Therefore from widest to narrowest, we have,

[tex]y=0.15x^2, y=2x^2,y=4x^2[/tex]

See graph.
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