SOLUTION: A function is defined as f(x)=4x^2+1. If the graph of this function shifts 4 units down, 5 units right, and is reflected across the x-axis, what is the coordinate for the vertex

Algebra ->  Functions -> SOLUTION: A function is defined as f(x)=4x^2+1. If the graph of this function shifts 4 units down, 5 units right, and is reflected across the x-axis, what is the coordinate for the vertex       Log On


   



Question 1035303: A function is defined as
f(x)=4x^2+1. If the graph of this function shifts 4 units down, 5 units right, and is reflected across the x-axis, what is the coordinate for the vertex of the resulting function.
A (5, -3)
B (5, 3)
C (4, 5)
D (0, 1)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A function is defined as
f(x)=4x^2+1. If the graph of this function shifts 4 units down, 5 units right, and is reflected across the x-axis, what is the coordinate for the vertex of the resulting function.
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Vertex of the given function:: (0,1)
Vertex after the translations::
4 units down:: (0,-3)
5 units right:: (5,-3)
reflected in x axis:: (5,3)
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Cheers,
Stan H.
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A (5, -3)
B (5, 3)
C (4, 5)
D (0, 1)