A parabola has a vertex at (3, 1) and goes through the point (2, -1). Explain how you would write the equation of the parabola given this information. Then describe the domain and range. Additionally, discuss whether the function has a maximum or minimum, how you know this, and identify the value.

The parabola has the following characteristics:

(i)

(ii)

(iii) The parabola has an absolute maximum since .

(iv) The vertex parameter of the parabola is -2.

Step-by-step explanation:

Let suppose that parabola has a vertical axis of symmetry. From Analytical Geometry, the vertex form of the equation of the parabola is defined by the following formula:

(1)

Where:

- Independent variable.

- Dependent variable.

, - Coordinates of the vertex.

- Vertex parameter.

If we know that and , then the vertex parameter of the parabola is:

According to this information, we find the following characteristics:

(i)

(ii)

(iii) The parabola has an absolute maximum since .

(iv) The vertex parameter of the parabola is -2.

which expression can be used to convert 80 us dollars (usd) to australian dollars (aud)?

1 usd = 1.0343 aud

1 aud = 0.9668 usd

step-by-step explanation:

sorry just need the points

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.