Question

Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the

Answer 1

Answer:

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 $y = -x^{2} + 5\cdot x + 24$ 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 ($\Delta x$) and the height of the archway at its highest point ($\Delta y$) are, respectively:

$\Delta x = 8 - (-3)$

$\Delta x = 11$

$\Delta y = 30.25$

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