Question

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

Answer 1

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.

Answer 2

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