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

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation:

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step-by-step explanation: