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If a>0 and b2-4ac=0, determine the possible corresponding graph of f(x)=ax2+bx+c.

Question

If a>0 and b2-4ac=0, determine the possible corresponding graph of f(x)=ax2+bx+c.

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Step 1

Given:

If a >0 and b-4ac = 0, then
determine the possible corresponding graph of f(x) a
bx+c.
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If a >0 and b-4ac = 0, then determine the possible corresponding graph of f(x) a bx+c.

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Step 2

From the given information:

b2-4ac 0
Therefore, f(x) has two real and equal roots.
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b2-4ac 0 Therefore, f(x) has two real and equal roots.

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Step 3

Since, given polynomial is a quadratic polynomial therefore, the shape of graph of f(x) will be a parabola. Also given a > 0 hence, it will be open on the positive side of y-axis. Moreover, &...

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