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ratelena [41]
3 years ago
7

why write a quadratic function whose graph has the given characteristics vertex :(2,3) point on graph (0,-1)

Mathematics
1 answer:
GaryK [48]3 years ago
5 0
<h3>Answer:</h3>

f(x) = -(x -2)² +3

<h3>Step-by-step explanation:</h3>

We can fill in the vertex (h, k) values immediately in the vertex form ...

... f(x) = a(x -h)² +k

To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:

... -1 = a(0 -2)² +3

... -4 = 4a . . . . . . . . . subtract 3, simplify

... -1 = a . . . . . . . . . . . divide by 4

Now, we know the function is ...

... f(x) = -(x -2)² +3

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7 0
4 years ago
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The total surface are of a can is 296.73in ^2. if the radius of the can is 4.5 inches what is the height of the can
Travka [436]

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The area of the triangular base is bh/2 = (9)(12) / 2. There are two of these.
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3 years ago
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