For the given graphs of quadratic equations $p, q, r, s$ , select the quadratic equations for which the coefficient of leading term is negative.

s

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p

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r

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q

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Solution

The correct option is B $p$
For any function $y = a x^{2} + b x + c$
The graph will be an upward opening parabola for $a > 0$ and will be a downward opening parabola for $a < 0.$
Thus, from the graph shown, the graphs of quadratic equation $p & s$ will have the sign of leading coefficient as negative.

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, select the quadratic equations for which the coefficient of leading term is negative.

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Let P, Q, R, S and T are five sets about the quadratic equation
(a – 5) $x^{2}$ – 2ax + (a – 4) = 0, a $\neq$ 5 such that
P : All values of ‘a’ for which the product of roots of given quadratic equation is positive.
Q : All values of ‘a’ for which the product of roots of given quadratic equation is negative.
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For the given graphs of quadratic equations p,q,r,s, select the quadratic equations for which the coefficient of leading term is negative.

The correct option is B p For any function y=ax2+bx+c The graph will be an upward opening parabola for a>0 and will be a downward opening parabola for a<0. Thus, from the graph shown, the graphs of quadratic equation p & s will have the sign of leading coefficient as negative.

For the given graphs of quadratic equations $p, q, r, s$ , select the quadratic equations for which the coefficient of leading term is negative.