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The parabola y=x^(2) is reflected across the x-axis and then scaled vertically by a factor of (4)/(3). What is the equation of the new parabola?

Topic

Functions

Question

The parabola y=x^(2) is reflected across the x-axis and then scaled vertically by a factor of (4)/(3). What is the equation of the new parabola?

Answer

Knowledge

To solve the problem of reflecting a parabola across the x-axis and scaling it vertically, you need to have a good understanding of the properties of quadratic functions and transformations. Specifically, you should be familiar with the concept of reflecting a graph across the x-axis and scaling it vertically by a factor. Additionally, knowledge of basic algebra and arithmetic operations is necessary to manipulate the equation of the original parabola to obtain the equation of the new parabola.

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