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Consider the function f(x)=4(x−2)2−4.(a) Give the coordinates of the vertex of the graph of the function.(b) Graph the function on a window that includes the vertex.

Consider the function f(x)=4(x−2)2−4.(a) Give the coordinates of the vertex of the-example-1
User Ancyrweb
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1 Answer

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According to the vertex form, the equation of a parabola with vertex at (h,k) is given by,


f(x)=a(x-h)^2+k

The given function is,


f(x)=4(x-2)^2-4

(a)

Comparing the coefficients,


(h,k)=(2,-4)

Thus, the vertex of the graph of the given function lies at (2,-4).

(b)

Observe the coordinates of vertex of the graph. It suggests that the vertex of the graph lies in the 4th quadrant.

And from the given alternatives, only option D shows the vertex in 4th quadrant. Therefore, option D will be the correct choice.

User JuhaKangas
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