Answer:
f(x) = [tex]\frac{1}{4}x^{2}[/tex] > f(x) = -0.5x² > f(x) = x²
Step-by-step explanation:
In a quadratic function leading coefficient decides the width of a graph.
In simpler words, leading coefficient decides the vertical stretch of the graph.
Higher the value of leading coefficient, higher the vertical stretch.
When a graph is vertically stretched it becomes narrower.
(Note: Minus sign of the coefficient decides the opening of the graph, upwards or downwards)
Therefore, f(x) = x² having coefficient = 1 is the narrowest and f(x) = [tex]\frac{1}{4}x^{2}[/tex] will be the widest.
So the descending order will be,
f(x) = [tex]\frac{1}{4}x^{2}[/tex] > f(x) = -0.5x² > f(x) = x²
