Can somebody please help me
1 answer:
Answer:
1) Cubic
2) 2
3) -3
4)
5)
Step-by-step explanation:
The given polynomial is:
The degree i.e. the highest exponent of the variable involved is 3. So the polynomial is a Cubic polynomial.
The terms in a polynomial can be distinguished by addition and subtraction symbols. So, for the given polynomial there are 2 terms.
The constant term is the term without any variable. So the constant term in given polynomial is -3.
Leading term is the term with variable having highest exponet which defines the degree of the polynomial. So leading term of the given polynomial is
Leading coefficient is the coefficient of the leading term. So for given polynomial the leading coefficient would be
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Refer to the diagram shown below.
The distance, d, from the focus to a point P (x,y) is equal to the distance from the directrix to P.
Therefore
d² = (6 - y)²
= (x + 2)² + y²
That is,
36 - 12y + y² = (x + 2)² + y²
12y = -(x + 2)² + 36
The equation of the parabola is
y = -(1/12)(x + 2)² + 3
It may be written as
-12(y - 3) = (x + 2)²
The leading coefficient -1/12 is negative, therefore the curve opens downward.
Answer:
The equation is (x + 2)² = -12(y - 3).
The curve opens downward.
The distance, d, from the focus to a point P (x,y) is equal to the distance from the directrix to P.
Therefore
d² = (6 - y)²
= (x + 2)² + y²
That is,
36 - 12y + y² = (x + 2)² + y²
12y = -(x + 2)² + 36
The equation of the parabola is
y = -(1/12)(x + 2)² + 3
It may be written as
-12(y - 3) = (x + 2)²
The leading coefficient -1/12 is negative, therefore the curve opens downward.
Answer:
The equation is (x + 2)² = -12(y - 3).
The curve opens downward.