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aleksandrvk [35]
3 years ago
11

Consider the function g(x) =-3(x-2) 2 + 3 what is the vertex

Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer:

The vertex is (2, 3)

Step-by-step explanation:

This is because the parent equation for problems like these is y=a(x-h)2 +k. The vertex is found through (h, k) and so with 2 as H and 3 as K, the vertex is (2,3).

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Step-by-step explanation:

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Work out the gradient of the line joining the points (2, 3) and (5,7)
Debora [2.8K]

Answer:

The gradient of the line joining the points P(x,y) = (2,3) and Q(x,y) = (5,7) is \frac{4}{3}.

Step-by-step explanation:

The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line (m_{PQ}), that is:

m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}} (1)

If we know that P(x,y) = (2,3) and Q(x,y) = (5,7), then the gradient of the line is:

m_{PQ} = \frac{7-3}{5-2}

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The gradient of the line joining the points P(x,y) = (2,3) and Q(x,y) = (5,7) is \frac{4}{3}.

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