A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The correct option is D.
What is the Equation of a parabola?
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in form (x, y);
a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.
Since f(x) opens upwards and is wider than g(x), the value of a will be greater in f(x) then in g(x), also the value of a will be positive.
Further, the vertex of the graph is 3 units down from the origin, therefore, the f(x)=0.2x-3.
Hence, the correct option is D.
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