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The parabola y=x^2y=x 2 y, equals, x, start superscript, 2, end superscript is reflected across the xxx-axis and then scaled vertically by a factor of 555. What is the equation of the new parabola? Y=

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ANSWER

The equation of the new parabola is

[tex]y = - 5 {x}^{2}[/tex]

EXPLANATION

The given parabola has equation:

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

If this parabola is reflected in the x-axis, its equation becomes :

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

When this parabola is scaled vertically by a factor of 5, the equation becomes,

[tex]y = - 5 {x}^{2} [/tex]

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