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The graph of y = −11x 2 + 154x − 535 is a parabola that opens in the direction _____. It has vertex ______, y-intercept _____, and ____ real roots.up, (7, 4), 154, 2down, (7, 4), −535, 2down, (7, 4), −535, 1down, (−7, 4), 154, 1None of the aboveThe graph of y = −11x 2 + 154x − 535 is a parabola that opens in the direction _____. It has vertex ______, y-intercept _____, and ____ real roots.up, (7, 4), 154, 2down, (7, 4), −535, 2down, (7, 4), −535, 1down, (−7, 4), 154, 1None of the aboveThe graph of y = −11x 2 + 154x − 535 is a parabola that opens in the direction _____. It has vertex ______, y-intercep -535 , and ____ real roots.Y-intercept is obtained by substituting zero for x in y = −11x 2 + 154x − 535 When x = 0, y = -535.So, the answer is either second or third choice.To pick the correct answer, we need to find how many real roots does this equation has.To check that you need to find the discriminate Δ = b^2 – 4ac
If it is positive you have two real roots
If it is zero it has only one real root
If it is negative, then it does not have any real roots. y = −11x 2 + 154x – 535
a = -11, b = 154, c = -535Δ = b^2 – 4ac = +176It has two real roots.Answer: Second Choice

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