Question

A.bMicah used the wrong sign for b in the formula x = -2aO B. Micah should have evaluated the function with x = 0 to find they-coordinate.O C. Micah did not use the correct order-of-operations dividing 47.5 by21 -9.5)OD. Micah should have found a positive value when he simplified the-9.5(2.5)2 term.The correct vertex is(Type an ordered pair.)

Answer 1

Answer

- Micah's mistake in calculating the vertex is that he used the wrong sign for b in using (-b/2a) to calculate the x-coordinate of the vertex.

The correct vertex is (-2.5, 122.375).

Explanation

The quadratic equation is

y = -9.5x² - 47.5x + 63

It is evident that Micah's mistake in calculating the vertex is that he used the wrong sign for b in using (-b/2a) to calculate the x-coordinate of the vertex.

To no calculate the correct vertex,

a = -9.5

b = -47.5

c = 63

x = (-b/2a)

$\begin{gathered} x=-\frac{b}{2a} \\ x=-\frac{-47.5}{2\times-9.5} \\ x=-\frac{-47.5}{-19} \\ x=-2.5 \end{gathered}$

We can hen substitute this for x in the quadratic equation to get the corresponding y-coordinate for the vertex.

y = -9.5x² - 47.5x + 63

y = -9.5(-2.5)² - 47.5(-2.5) + 63

y = -9.5 (6.25) + 118.75 + 63

y = -59.375 + 118.75 + 63

y = 122.375

Hence, the vertex is (-2.5, 122.375)

Hope this Helps!!!