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range 4x2+1
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Solution
f(x)≥1
+1
Interval Notation
[1,∞)
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Solution steps
Solve by:
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x=2y2
Parabola standard equation
4p(x−h)=(y−k)2 is the standard equation for a right-left facing parabola with vertex at (h,k), and a focal length |p|
Rewrite x=2y2in the standard form:4·18(x−0)=(y−0)2
Therefore parabola properties are:
(h,k)=(0,0),p=18
Parabola is of the form 4p(x−h)=(y−k)2 and is symmetric around the x-axis Axis of symmetry is a line parallel to the x-axis which intersects the vertex: