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Nutka1998 [239]

3 years ago

5

Derrick made a goal for 2 points during the basketball game. The path of the balls height in feet can be modeled by y= -x^2 - 2x

+ 24. Determine the height

1 answer:

anastassius [24]3 years ago

3 0

First let's get the vertex of the function

$( \frac{-b}{2a},f( \frac{-b}{2a}))$

(-1,25) is the vertex

so the maximum height is 25 feet
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Step-by-step explanation:

<em>To find the reflection Multiply the matrices</em>

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<em>1. Multiply the first row of the 1st matrix by each column in the second matrix add the products of each column to get the first row in the 3rd matrix.</em>

2. Multiply the second row of the 1st matrix by each column in the second matrix add the products of each column to get the second row of the 3rd matrix

$\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right]$ × $\left[\begin{array}{ccc}0&3&0\\0&0&2\end{array}\right]$ = $\left[\begin{array}{ccc}(1*0+0*0)&(1*3+0*0)&(1*0+0*2)\\(0*0+-1*0)&(0*3+-1*0)&(0*0+-1*2)\end{array}\right]=\left[\begin{array}{ccc}0&3&0\\0&0&-2\end{array}\right]$

Compare the elements in the answer with the third matrix to find the values of a, b, c, and d

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