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Sagot :
Step-by-step explanation:
Since the equation is in vertex form: a(x - h)² + k, we immediately know that the vertex is at (2, 5).
x | y
0 | 13
1 | 7
2 | 5
3 | 7
4 | 13
Answer:
Step-by-step explanation:
Comparing the given g(x) = 2(x - 2) ^ 2 + 5 to h(x) = a(x - h)^2 + k, we see that h = 2, k = 5, a = 2. Thus, the vertex is at (2,5). Several sample points on this graph are:
x y = g(x) (x, y)
2 5 (2, 5)
0 2(0-2)^2)+ 5 (0, 13)
1 2(1-2)^2 + 5 (1, 7)
3 2(3-2)^2 + 5 (3, 7)
and so on. Plot these are several more points and then draw a smooth curve through them. The graph will be a parabola with vertex (2, 5) that opens up.
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