If graph of quadratic polynomial a x2-b x-c cuts positive direction of y -axis- then what is the sign of c -

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Standard X

Mathematics

Graphical Representation of Quadratic Equation

If graph of q...

Question

If graph of quadratic polynomial ax² + bx + c cuts positive direction of y-axis, then what is the sign of c?

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Solution

If graph of quadratic polynomial cuts positive direction of y−axis, then

Put x = 0 for the point of intersection of the polynomial and y−axis

We have

Since the point is above the x-axis

Hence, the sign of c is positive, that is

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If graph of quadratic polynomial ax2 + bx + c cuts positive direction of y-axis, then what is the sign of c?

If graph of quadratic polynomial cuts positive direction of y−axis, then Put x = 0 for the point of intersection of the polynomial and y−axis We have Since the point is above the x-axis Hence, the sign of c is positive, that is

If graph of quadratic polynomial ax² + bx + c cuts positive direction of y-axis, then what is the sign of c?

If graph of quadratic polynomial cuts positive direction of y−axis, then

Put x = 0 for the point of intersection of the polynomial and y−axis

We have

Since the point is above the x-axis

Hence, the sign of c is positive, that is