you of the quadratic function F of X equals negative 14 x minus X squared minus 109. Well, the first thing I noticed on this one is this function is not really written in order of the exponents and descending. So let's rewrite this function. Rewriting It's not gonna change the value of the function. It's just going to kind of rewrite. So instead, we're gonna put negative X squared minus 14 x minus 109. This will help us determine what are a value be value and see value. So are a coordinate is negative. One b is negative 14 and C is negative 109 now because, um, I see the A is negative. That means we're gonna be looking for a maximum value. And the reason we're gonna be looking for a maximum value is because this is a negative. This is going to be a Dow opened downward parabola, which means that the max is gonna be the top. That's gonna be where Vertex is R b value. We're gonna use it and find the coordinates the X coordinate of our vertex with to find that we're gonna go negative, be over to A and that's going to be negative. Negative 14 over to times. Negative one. So that's gonna be a positive 14 over two. Which means they're X coordinates going to be seven. Now that we know that we can plug seven in place of X, and so there's gonna be negative seven, because that's a negative too. But now that we know that we can plug negative seven in place of X, so we're gonna plug it in. So we have negative negative. Seven squared minus 14 times negative. Seven modest. 109. So negative. Seven squared is positive. 49 but the negative in front of it. We're gonna keep so negative. 49 negative. 14 and negative seven. Give me positive 98 and minus 109. And when I worked those out, I see that Why is negative 60. So our maximum value is going to be where Why is negative 60

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you of the quadratic function F of X equals negative 14 x minus X squared minus 109. Well, the first thing I noticed on this one is this function is not really written in order of the exponents and descending. So let's rewrite this function. Rewriting It's not gonna change the value of the function. It's just going to kind of rewrite. So instead, we're gonna put negative X squared minus 14 x minus 109. This will help us determine what are a value be value and see value. So are a coordinate is negative. One b is negative 14 and C is negative 109 now because, um, I see the A is negative. That means we're gonna be looking for a maximum value. And the reason we're gonna be looking for a maximum value is because this is a negative. This is going to be a Dow opened downward parabola, which means that the max is gonna be the top. That's gonna be where Vertex is R b value. We're gonna use it and find the coordinates the X coordinate of our vertex with to find that we're gonna go negative, be over to A and that's going to be negative. Negative 14 over to times. Negative one. So that's gonna be a positive 14 over two. Which means they're X coordinates going to be seven. Now that we know that we can plug seven in place of X, and so there's gonna be negative seven, because that's a negative too. But now that we know that we can plug negative seven in place of X, so we're gonna plug it in. So we have negative negative. Seven squared minus 14 times negative. Seven modest. 109. So negative. Seven squared is positive. 49 but the negative in front of it. We're gonna keep so negative. 49 negative. 14 and negative seven. Give me positive 98 and minus 109. And when I worked those out, I see that Why is negative 60. So our maximum value is going to be where Why is negative 60

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