Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the X-intercepts on the sketch. Then find and label the width of the archway at its base and the height of the archway at its
highest point, assuming the base of the archway is along the x-axis.

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

Step-by-step explanation:

The graph that represents the equation is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base () and the height of the archway at its highest point () are, respectively:

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363

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