hardest question of iit jee
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The equation we are given (−at2+bt+c) is a parabola and we are told to describe what happens when we change c (the y-intercept).
From what we know about functions and function translations, we know that changing the value of c will shift the entire parabola upwards or downwards, which will change not only the y-intercept (in this case called the "h intercept"), but also the maximum height of the parabola as well as its x-intercept (in this case called the t intercept). You can see this in action when we raise the value of the y-intercept of our parabola.
body_parabola_examplebody_parabola_example_2
Options I, II, and III are all correct.
Our final answer is K, I, II, and III
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