Plot on graph.
plot the axis of symmetry and the point where the maximum value occurs for the function below.

h(x)=-1/2x^2-2x+6

Axis of symmetry: x=-2

Maximum point: (-2,8)

Step-by-step explanation:

The given function is .

We can complete the square to reveal the axis of symmetry and the vertex.

We factor to get:

We add the zero pairs and obtain a perfect square:

The function is now in the form , where V(h,k) =(-2,8) is the vertex.

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

c. (3,2,6) is the answer.