In Exercises 85–88, find the vertex for each parabola. Then determine a reasonable viewing rectangle on your graphing utility and use it to graph the quadratic function. 85. y = -0.25x² + 40x 86. y = -4x? + 20x + 160 87. y = 5x² + 40x + 600 88. y = 0.01x² + 0.6x + 100

Q: given a vertex of (-3,4) what is the equation of this quadratic in vertex form?

A: The point is (-3,4) To find the equation of the quadratic in vertex form.

Q: Write an equation of the parabola that has the same shape as the graph of f(X)=3^2, but with a (7,6)…

A: The general equation of a parabola in vertex form is y=ax-h2+k. It is given that the required…

Q: Describe how to find a parabola’s vertex if its equation is expressed in standard form. Give an…

A: The standard form of a parabola is y = ax2 + bx + c. To find the x coordinate of the vertex, use the…

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: Graph the quadratic equation. Identify the vertex and the x-intercepts. 9) y = x2 + 6x + 9 10) y =…

A: Solution: - a) The given quadratic equation  is  given  y=x2+6x+9

Q: Determine the equation of a parabola whose zeros are 2 and -11 and whose graph passes through the…

A: The zeros of the parabola are 2 and -11 and the graph passes through the point (3, 84). Let the…

Q: The graph of f(x)=-2x^2+8x+12 is a parabola. Round any decimal answers to 3 decimal places.  a)…

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Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

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Q: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…

Q: Solve the quadratic function to vertex form, 5t^2-14t-3, and make a table of values for it then plot…

A: Consider the quadratic function, 5t2-14t-3 To write it in vertex form, complete the square as shown…

Q: Meticulously graph the parabola y = - ( x + 3 )² + 9 and clearly label its vertex and axis of…

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Q: A parabola has a vertex of (-3, 7) and also goes through the point (-6, -11). State the equation in…

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