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

Sagot :

By using the concept of reflection and scaling, it can be calculated that

New equation of parabola is [tex]y = -5x^2[/tex]

What is reflection and scaling?

Reflection is a mathematical transformation in which a mirror image of an object can be obtained without changing the shape and size of an object.

To draw an object of size proportional to the size of the original object, scaling is used

The equation of the parabola is [tex]y = x^2[/tex]

If it is reflected across x axis, its equation is [tex]y = -x^2[/tex]

Now  y  = -[tex]x^2[/tex] is scaled vertically by a factor of 5

New equation of parabola

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

To learn more about reflection and scaling, refer to the link-

https://brainly.com/question/28655129

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