C. parabola
By definition, we have a parabola is:
Open curve formed by two symmetrical lines or branches with respect to an axis and in which all its points are at the same distance from the focus (one point) and the directrix (line perpendicular to the axis).
Answer:
The locus of points that are the same distance from a point and a line is a parabola.
5a^2 - 6a -4 - (<span>-7a^2 + 3a -9)
=</span>5a^2 - 6a -4 + 7a^2 - 3a + 9
=12a^2 - 9a + 5
answer
12a^2 - 9a + 5
Answer: f(2) = -4
Step-by-step explanation: Here we're given the function f(x) = -3x + 2 and we are asked to find f(2).
In other words, if we put an <em>x</em> into our function, we get a -3x + 2 out so what happens when we put a 2 into the function?
Well if we put a 2 into the function,
that's f(2) and we get -3(2) + 2 out.
Now all we have to do is simplify on the right side.
-3(2) is -6 so we have -6 + 2 which is -4.
So f(2) is -4.
Answer:
Clockwise 270° around the origin: (-5,-4)
Counterclockwise 270° around the origin: (5,4)
Step-by-step explanation:
Clockwise
A(x,y) -> A'(-y,x)
Counterclockwise 270° rotation rule:
A(x,y) -> A'(y,-x)
Answer:
y = 0
Step-by-step explanation:
The given sinusoidal equation is 
The general form of the sin function is presented as follows;
y = A·sin(B·(x - C)) + D
Where;
A = The amplitude
The period, T = 2·π/B
The frequency, f = B/2·π
C = The horizontal shift
D = The vertical shift
By comparison with the given sine function, we have;
The amplitude, A = 2
The frequency, f = B/2·π = π/2/(2·π) = 1/4
The frequency, f = 1/4 Hz
C = The horizontal shift = 3/(π/2) = 6/π
The vertical shift, D = 0
Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, , is therefore, the line;
y = 0.
