To discover where the vertex of the parable f(x) = y is
located, we'll have to establish the quadrant or the side of x axis where the
coordinates of the vertex of the graph of y are located.
We
know that the coordinates of the parabola vertex
are:
V(-b/2a;-delta/4a), where a,b,c are the coefficients
of the function and delta=b^2 -4*a*c.
y=f(x)=x^2 - 8x +
16
We'll identify the
coefficients:
a=1, 2a=2,
4a=4
b=-8, c=16
delta=(-8)^2
-4*1*16
delta =64 - 64
delta =
0
V(-b/2a;-delta/4a)=V(-(-8)/2;-(0)/4)
V(4;0)
Because the x coordinate is
positive and y coordinate is 0, the vertex is located on the right side of x axis:
V(4;0).
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