Quadratic functions a. Show that if la, fla22 is any point on the graph of f1x2 = x², then the slope of the tangent line at that point is m = 2a. b. Show that if la, fla22 is any point on the graph of f1x2 = bx? + cx + d, then the slope of the tangent line at that point is m = 2ab + c.

Q: Determine the quadratic function f whose graph is given.     The vertex is (3,−4) and the other…

A: Given :- The vertex is (3,−4) and the other given point is (2,-1).

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A: As per the guidelines I have to solve only first three subparts. For more questions please resubmit…

Q: Draw a quadratic function with a negative a-value and only 1 x-intercept.

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A: We have to find

Q: Solve the initial value problem y" + 4y + 4y = 0, y(-1) = 5, y'(−1) = 6. y(t) = =

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Q: 10. Determine whether the equation y = 2x2 − 3x + 4 is a function.

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Q: Find any intercepts     y = (x − 1)√(x2 + 1)

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Q: The x-intercept of a quadratic function is at the point (0, c). O True O False

A: SOLUTION-

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Q: raph the quadratic function given in standard form

A: given vertex given ( -2 , -1 )

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Q: Write a quadratic function that fits the points (2, 27), (4, 61), and (7, 142).

A: According to the given question, y(2) = 27 y(4) = 61 y(7) = 142

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A: The regression line is Yi=a+bxi and the estimated regression line is Y^i=a+Bxi.