Question

Use vertex (h, k) and a table of values g(x) = 2 * (x - 2) ^ 2 + 5

Answer 1

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.

Answer 2

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