A quadratic function of the form f(x) = ax2 + bx + c with b2 - 4ac > 0 may also be written in the form f(x) = a(x - r1) (x - r2), where r1 and r2 are the x-intercepts of the graph of the quadratic function. (a) Find a quadratic function whose x-intercepts are - 5 and3 with a = 1; a = 2; a = - 2; a = 5.(b) How does the value of a affect the intercepts?(c) How does the value of a affect the axis of symmetry?(d) How does the value of a affect the vertex?(e) Compare the x-coordinate of the vertex with themidpoint of the x-intercepts. What might you conclude?

Q: A quadratic function is given f(x) = -x^2 + 8x + 4. The standard form  f(x) = -(x - 4)^2 + 20. The…

A: Use the given information and sketch the graph of the given function as follows.

Q: Find all zeros of the polynomial function f(x) = -(x - 2)2(x + 1)2.Then graph the function.

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Q: Find the x-intercepts of each polynomial equation f(x) = (-x + 14)(-x – 12)(x – 2)

A: The x-intercepts of a polynomial f(x) are those values of x at which f(x)=0

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Q: [2] Find ALL of the intercepts of the polynomial function and express them as POINTS.   f(x) = x4 -…

A: Finding the y intercepts To find the y-intercept of a function f(x), we can find f(0),  f(x) = x4…

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Q: quadratic function J (- nonzero integers.

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A: Given that: f(x)=(x+13)(x-13)

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Q: Find all zeros of the polynomial function f(x) = (x - 2)2(x + 1)3.Then graph the function.

A: Given: fx=x-22x+13 for finding zeros of given polynomial, we equate it with zero

Q: The Range of the quadratic function f(x) = -x² + 24x + 48 is, O [-48, 12]| о (), 12] O [48, 0) O…

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Q: Determine the x-intercepts of the polynomial P(x) = (8x3 + 27)(2x²-11x-21) show full solution

A: Please refer below page if u have any doubt please feel free to ask meExplanation:Step 1: Step 2:…

Q: 7) Write the quadratic function, f(x)=x²-2x-8 in vertex form and then find all of the following: a.…

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Q: Form a quadratic function f(x) for which f(1)3D0, f(-1)= -4, and f(2)= 5. The equation is f(x) =-

A: Given : fx is a quadratic equation. f1 = 0f-1 = -4f2 = 5

Q: Graph the quadratic function f(x) = (x- 1)(x- 3) -10 -8 64 10 -6 -10 10 -10 -8 -6 4 2 10 -2 -4 -6…

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Q: The Range of the quadratic function f(x) =-² +24r + 55 is O (-55, 12] O (-00, 55] O [55, 00) О (),…

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Q: 4) Graph the polynomial function. Don't forget to find the x-intercepts to divide the x-axis into…

A: Given: fx=-x4+2x3 To do: Graph the given polynomial by mentioning the x and y intercepts.

Q: f(x)=-4(x-2)^2-5 use the vertex and intercepts to sketch the graph of the quadratic function

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Q: Suppose​ f(x) is a quadratic function such that its vertex lies on the​ x-axis. How many distinct…

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