I need correct answers here please. Highlight the answers please

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\fFind an equation of the circle whose diameter nae endpoints [6, 1) and (4, -1). [I [P % |:|=|:| X 52) Find the vertex, focus, directrix, and axis of symmetry of the parabola. (x+ 5)2 =-5(1+3) Vertex: OD X Focus: OD Directrix: O X= Oy = 1 Axis of symmetry: () x = OV =The parabola in the figure below has vertex (0, 0) and focus F (0, 3). Its directrix is the horizontal line that passes through (0, -3). The point R (x , y) is a point on the parabola that is above and to the right of the focus. The point T lies on the directrix, and RT is perpendicular to the directrix. R (x, V) F (0, 3) -. (0, -3)(a) What are the coordinates for the point T? (Choose one) V (b) Write the expressions for the distances FR and TR. FR = TR = (c) From the definition of a parabola, which of the following must be true? (Choose one) (d) Use the above to write an equation for the given parabola solved for x. xThe arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, the arch is 162 m long and has a height of 48 m at the center. The point p is located 16 m from the center. Find the height of the arch above point p. Round your answer to the nearest hundredth. Do not round any intermediate computations. X 5 48 m 16 m center P -162 m-The equation of a circle is given below. Identify the center and the radius. Then graph the circle. x-ty- - 6x -4y-12=0 E .... . .... . . . . . ! . . . . .-; . . . . .. ... .. .1.... ...!... . .... . .! . .... XO B O . . . .. V -.... ......... . .....|...... ... |...... ... . 5.. .. . . . .:. . ..:. ... .....:... - . . . Center: ( D) OVO ... . .... . .A... . .:.. x X 5 -8 -6 Radius: X ... . ... . . . .... ... . ... . - - . . :-. -2- .... .....- .... -. ... . ... . . . . . . . . . . . . . ! . . . . .- . . . . . . . .. . . . 2. .. . ... ... . .. -3. .. ..... ..... . ..... . .... -. . .The equation of a circie is given below. Identify the radius and center. Then graph the circle. (.T+4)2 + (ya? = 4 Radius: E Center: ( 1 fr! Find the center, vertices, foci, and asymptotes of the hyperbola. (v -4)2 (r + 8) 2 = 1 49 25 Center: OO Vertices: (0 0) and (10) Foci: (10) and (0.D) Asymptotes: y = [ and y =Find an equation of the hyperbola having foci at (-11, 1) and (7, 1) and vertices at (-9, 1) and (5, 1). 0=0 X 5Graph the ellipse. (x- 5)- (1 -4)2 + = 1 9 4 * . .i. . .- . .... . . . . . . . . . . . . . . . . . . ..i.. .:. . ... . . . . .-. . . . . - . . .= . . .. . . . . .. . .-.. . ... . . . . !-. . . . . . O V O -..... .. . ... . . . !. .. . . .. . . . . . . . . . . I. . . . . . . . . . '-. . .- .-.; .. . .. . . . ... . ..... . -1 . . . .! . .. 4- Ex X .. . .... . .i-. ..!.. . ....!. . . . .. . . . . . . . . . . . . . . . . ... . . .. . . - . . - .. ..!.. . ... .;. .... . . . -. . . . . . . . .