Write the equation of each circle Center (-1,0) and containing the point (2, -4)

A.(x + 1)2 + y2 = 25
B. x2 + (y2 +1)= 25

The equation of the circle is

Step-by-step explanation:

Equation of a circle:

The equation of a circle of centre has the following format:

In which r is the radius.

Center (-1,0)

This means that . So

Finding the radius:

Distance between the radius and the centre and a point of the circle. In this case, point (2,-4). Using the formula for the distance between two points:

So, the equation of the circle is:

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

false

step-by-step explanation: