What type of conic section is represented by the parametric equations below? X=3cos(t)-1 y=3sin(t)+4
1 answer:
Answer:
Circle
Step-by-step explanation:
Examples of conic sections are the circle, the ellipse, the parabola and the hyperbola. Parametric equations are used to express the x and y variables in terms of a less complicated manner using a third variable (t or θ).
The parametric equation for a circle with an equation is given by:
where r is the radius of the circle and (h, k) is the center of the circle.
A conic section with a parametric equations X=3cos(t)-1, y=3sin(t)+4 is a circle with center at (-1, 4) and radius of 3. The equation of the circle is:
(x + 1)² + (y - 4)² = 3²
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Set is a sum of two intervals :(1,4) u [2,6]
In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6
We can write it as 1<x
summing both sets we have one set: (1,6]
so
a) represent our set
b) also represent because all numbers between 4-6 and 6 are in our set
c)also represent, all numbers are in main set
d)also represent
In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6
We can write it as 1<x
summing both sets we have one set: (1,6]
so
a) represent our set
b) also represent because all numbers between 4-6 and 6 are in our set
c)also represent, all numbers are in main set
d)also represent
<h2>Answer:</h2>
shift
<h2>Step-by-step explanation:</h2>These are common types of transformations of functions. Many functions have graphs that are simple transformations of the parent graphs, that are the most basic functions. In this way, we can use vertical and horizontal shifts to sketch graphs of functions. These are rigid transformations because the basic shape of the graph is unchanged. Therefore is a Horizontal Shift, so the graph of the function
has been shifted 3 units to the right.