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Bas_tet [7]
3 years ago
12

F(x)=x^2 horizontal shift of 3 vertical shift of -2 reflected over the x-axis. Write the equation

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

f(x) = -(x-3)^{2} -2 is the required function.

<u>Step-by-step explanation:</u>

We have to find the transformation after the horizontal and vertical shifts and then reflection over the x-axis for the given function.

f(x) = x^{2}

If there is a horizontal shift of 3, then the function becomes, f(x) = (x-3)^{2}

If there is a vertical shift of -2, then the function becomes, f(x) = (x-3)^{2} -2

The function is reflected over the x- axis then the function becomes,

f(x) = -(x-3)^{2} -2

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