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Question

For the given quadratic equation y=x23x+2, select the correct option(s).

A
Graph of y=x23x+2 is

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B
vertex(0,2);
yintercept (32,14)
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C
vertex(32,14);
yintercept (0,2)
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D
Graph of y=x23x+2 is

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Solution

The correct option is C vertex(32,14);
yintercept (0,2)
Given quadratic polynomial: y=x23x+2
On comparing with the standard form of quadratic expression y=ax2+bx+c
we get, a=1,b=3,c=2
& D=b24ac=(3)2412=1

Since a>0, the graph would be an upward opening parabola.
Now, the vertex of the quadratic polynomial is given by:
(b2a,D4a)

Where b2a=321=32

& D4a=141=14

vertex (32,14)

Now, y intercept is given as the value of y at x=0.
yintercept(0,c)(0,2)
Thus, we can draw the graph of the polynomial as:


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