What is the standard form given the vertex (-3,3) and the focus point (-3,2)

Step-by-step explanation:

The standard form of a parabola is written as

where a, b and c are the coefficients of the second-degree, first degree and zero-degree terms.

The coordinates of the vertex of a parabola is given by:

The coordinates of the focus instead are given by

In this problem, we know the coordinates of the vertex and of the focus point:

Vertex: (-3,3)

Focus point: (-3,2)

So we have:

(1)

(2)

(3)

From eq.(1) we get

(4)

Substituting into (2),

(5)

Now rewriting eq.(3) as

And substituting (4) and (5) into this, we can find b:

Then we can find a and c:

And

So the parabola is

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.