A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1). Which statement correctly describes g(x)?

1. The line x = -5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.

2. The line x = -5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.

3. The line x = 5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.

4. The line x = 5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.

Correct option: 3

Step-by-step explanation:

The points (2,1) and (8,1) have the same y-coordinate, so to find the vertex of the quadratic function (where the axis of symmetry will be located), we just need to find the average of their x-coordinate:

x_vertex = (2 + 8) / 2 = 5

The points (2, 1) and (-8, 33) show that when the graph moves away from the axis of symmetry (from x = 2 to x = -8), the y value increases (from 1 to 33), so the vertex is a minimum.

Correct option: 3

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation: