What are the coordinates of the vertices of the hyperbola? (y-1) (+4) 1 49 Enter your answer by filling in the boxes. andThe center of a hyperbola is (-4, 7), and one vertex is (-2, 7). The slope of one of the asymptotes is 2. What is the equation of the hyperbola in standard form? Enter your answer by filling in the boxes. 1What are the equations of the asymptotes of the hyperbola? (z+1)- (y-3)2 25 16 = 1 Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.The general form of a hyperbola is 6x2 - 5y2 + 12x + 50y -149 = 0. What is the standard form of this hyperbola? Enter your answer by filling in the boxes. 1\fO 6 -5 -4 -3 -2 -1- 1 2 3 4 5 6 7 8 9 10 O 6 -5 -4 -3 -2 -1 - X 1 2 3 4 5 6 7 8 9 10How do you graph the ellipse? (z-6)2 + (y+3)2 36 1 100 Drag choices into the boxes to correctly complete the statements. The center of the ellipse is i The endpoints of the major axis are units from the center. The endpoints of the minor axis are i units from the center. To graph the ellipse, connect i with a smooth curve. (-6, 3) (6, -3) 6 8 10 (12, -3), (6, -13), (0, -3), and (6, 7) (16, -3) , (6, -9), (-4, -3), and (6, -3)\fWhat is the standard form of the ellipse whose equation is 4x2 + 3y2 - 16x + 9y + 16 = 0? Drag an expression into each box to correctly complete the equation. = 1 16(1-2)2 (1-2)2 2 9(1-2)2 4(3+4) 81 (3+) 27 27 4 4 9 4What are the endpoints of the major axis and minor axis of the ellipse? {3212 may\" _ 36 + 12 _1 Drag coordinates into the boxes to correctly complete the table. Endpoints of major axis Endpoints of minor axis \fThe center of an ellipse is (-9, 3). One focus is (-6, 3). The major axis is 14 units long. What is the equation of the ellipse in standard form? Enter your answer by filling in the boxes. (x+9)2 + ()-3)2 = 1\fThe vertex of a parabola is (-5, 2), and its focus is (-1, 2). What is the standard form of the parabola? Enter your answer by filling in the boxes.The general form of an parabola is 4y2 + 40y + 3x + 103 = 0. What is the standard form of the parabola? Enter your answer by filling in the boxes. Enter any fractions in simplest form.Gayle graphs the parabola (y + 1) = 12 (x - 3). How does she proceed? Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements. Gayle identifies that the vertex of the parabola is i The parabola opens i and the focus is i units away from the vertex. The directrix is units from the focus. The focus is the point The directrix of the equation is Gayle plots the vertex and focus, and graphs the directrix as a dashed line. She then draws the parabola so that the focus sits inside the curve and the directrix does not intersect it.7 units away from the vertex. The directrix is units from the focus. The focus is the point The directrix of the equation is Gayle plots the vertex and focus, and graphs the directrix as a dashed line. She then draws the parabola so that the focus sits inside the curve and the directrix does not intersect it. (3, -1) (3, 2) (6, -1) 3 6 12 X = 0 T =-2 y = -4 y = -6 up down left rightThe directrix of a parabola is y = 4. Its focus is (2, 6). What is the standard form of the parabola? Enter your answer by filling in the boxes