You are referring to an ELLIPSE.
In mathematics, an ellipse<span> is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. As such, it is a generalization of a circle, which is a special type of an </span>ellipse<span>having both focal points at the same location.
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(- 5, - 6 )
for x- coordinate x + 5 = 0 ⇒ x = - 5
given f(x) ± c , the value of c translates the graph vertically up/down by ± c
here c = - 6 , thus graph is shifted down by - 6
thus the vertex = (- 5, - 6)
First we have to get x by itself, so we multiply two on each side,
then we get 5x=660/4, I like to simplify here, so I would change it to 5x=165, then we divide each side by 5
x=33
:)
The slope is -2. this is because if you look at the graph it goes down 2 units and it goes right to the once so it’ll be -2/1 which equals -2.