- #1
lucifer_x
- 15
- 0
the curve points are:
a) (25, 43)
b) (28, 46)
c) (32, 47)
d) (35, 45)
would i use y=mx+b i think that's a straight line
a) (25, 43)
b) (28, 46)
c) (32, 47)
d) (35, 45)
would i use y=mx+b i think that's a straight line
Bacat said:my guess is that you only need [tex]y(x) = Ax^2 + Bx + C[/tex].
lucifer_x said:so how would i put the points of A into
[tex]y(x)=Ax^3+Bx^2+Cx+D[/tex]cause there are 2 points and only 1 A
A quadratic curve is a type of curve that can be represented by a second-degree polynomial equation of the form y = ax^2 + bx + c. It is a U-shaped curve that can have either a maximum or minimum point, depending on the values of the coefficients a, b, and c.
The standard form of a quadratic curve is y = ax^2 + bx + c, where a, b, and c are constants. This form is also known as the general form and is used to easily identify the values of the coefficients and the overall shape of the curve.
The standard form of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the center of the circle and r is the radius. This form can also be rewritten as x^2 + y^2 + 2gx + 2fy + c = 0, where g = -h and f = -k. This form is useful for identifying the center and radius of a circle.
To convert from standard form to vertex form of a quadratic curve, we need to complete the square. This involves adding and subtracting a constant term to the standard form equation, such that the resulting equation can be factored into the form y = a(x - h)^2 + k, where (h,k) is the vertex of the curve.
The main difference between standard form and vertex form of a quadratic curve is the way they are written. Standard form is in the form of y = ax^2 + bx + c, while vertex form is in the form of y = a(x - h)^2 + k. Standard form is useful for identifying the x-intercepts of a quadratic curve, while vertex form is useful for identifying the vertex of the curve.