Find the vertex of the graph of the function. f(x) = 2x^2 + 8x + 10

The vertex is (-2, 2).

Step-by-step explanation:

2x^2 + 8x + 10

Convert to vertex form:

= 2(x^2 + 4x) + 10

= 2 [ (x + 2)^2 - 4] + 10

= 2(x + 2)^2 - 8 + 10

= 2(x + 2)^2 + 2.

Compare this with a(x - b)^2 + c:

b = -2 and c = 2.

The vertex is at

51

Step-by-step explanation:

First, simplify the exponent by multiplying 6*6=36

Now. just add them together 36 + 15 = 51