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Question

Plot a graph for the equation y=x24x.

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Solution

a=1,b=4. As a is positive, the parabola should open up.
As c=0, the parabola passes through the origin.
Vertex: x=b/2a=2, so y=4
Vertex=(2,4). Assuming two values of x,
x10
y30
Points obtained: (2,4),(1,3),(0,0).
Symmetry of parabola: Mirror image.
Points of (1,3) and (0,0) are (3,3) and (4,0), respectively.
Now, sketch the parabola as shown in the figure.
896911_980642_ans_540197a0905b4495831fc210935ba9ff.jpg

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