Note how all four answer choices begin with "x=-2(." This tells us that we have the graph of a horizontal parabola that opens to the left, because of the "-" symbol.

Given that the vertex is located at (-1,-3), we know that the (y-c) term must be (y-[-3]), or (y+3). Thus,we can immediately eliminate answer choices b and d

The only answer choice that fits this situation is (a): x = -2(y+3) - 1.

6 0

3 years ago

A circle with the equation (x + 6)2 + (y + 3)2 = 16 is reflected over the line x = 2.

fomenos

Answer: $(x-10)^{2}+(y+3)^{2}=16$

Step-by-step explanation:

We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).

Thus, the equation of the circle is $(x-10)^{2}+(y+3)^{2}=16$ .

6 0

2 years ago