Circles and Parabolas 2023 with verified questions and answers

Which is the equation of a parabola with Vertex (0, 0) and focus (-3, 0)? y² = -12x Find the equation of the circle with center at (3, -2) and radius of 3. (x-3)² + (y+2)² = 9 Which is the equation of a parabola with Vertex (0, 0) and focus (0, 2)? x² = 8y Find the equation of the circle with center at (-1, -4) and radius of 2. (x+1)² + (y+4)² = 4 Which is the equation of a parabola with Vertex (0, 0) and directrix x = -2? y² = 8x Find the center and the radius of the circle with the equation: x² + 2x + y² -2y - 14 = 0? center: (-1,1) radius: 4 Which is the equation of a parabola with focus (-5, 3) and vertex (-5, 6)? (x + 5)² = -12(y - 6) Which is the equation of a parabola with focus (0, 5) and directrix y= -5? x² = 20y Which is the equation of a parabola with vertex (0, 0), that opens downward and has a focal width of 6? x² = -6y Which is the equation of a parabola with Vertex (0, 0) and directrix y = 4? x² = -16y