'i. A parabola is the set at all points Fll In the plane that are equidistant from a fixed the called the and a fixed paint net on the the called the A parabola la the set at all perms P In the plane that are aqumlatanl hem a fitted he called the (1} and a fixed point not on the line called the (2) {1} CI directrix {2) Q Fouls \5. Using the graph shown, fill in the blank so that the resulting statement is true. The equation of the parabola is of the form [-5, -2) The equation of the parabola is of the form (1) (1) O (x-5)? =4p(y -2). O (y-2) = 4p(x + 5). O (y+ 2) = 4p(x +5). O (x+5)2 =4p(y + 2). 6. Using the graph of the parabola shown to the right, fill in the blank so that the resulting statement is true. The equation of the parabola shown can be written in the form (y- kj" =4p(x -h) or (x -h) 0, and alan (4). if AC 0. A nondegenerate conic section of the form Ax2 + Bxy + Cy2 + Dx + By + F =0 is a(n) (1). if B- - 4AC = 0, a(n) (2) or a(n) (3) if BZ - 4AC 0. (1) O parabola (2) O ellipse (3) O hyperbola (4) O ellipse ellipse O hyperbola O circle O hyperbola circle O parabola O parabola O circle 3. Write the equation in terms of a rotated x'y'-system using 0, the angle of rotation. Write the equation involving x' and y' in standard form. xy = 64, 0 = 45 The equation involving x' and y' in standard form is 4. Write the equation in terms of a rotated x'y'-system using 0, the angle of rotation. Write the equation involving x' and y' in standard form. x2 + 8xy + y2 - 30 =0; 0 =450 The equation involving x' and y' in standard form is5. Write the equation in terms of a rotated x'y'-aystem using (I, the angle of rotation. Write the equation involving x\" and y' in standard form. 133:2 + zoxy- Ty: - 391: 0: e = 30 The equation involving x' and y' in standard form is |:|. 6. Write The appropriate rotation formulas so that in a rotated system the equation has no x'y'-term. x2+5xy+y2-?=o The appropriate rotation formulas are x = I: and y= |:|. (Simplify your answers. including ans.r radicals. Use integers or fractions for any numbers in the expression. Rationalize all denominators.) '1'. Write the appropriate rotation formulas so that In a rotated System the equation has no x'y'-ten'n. 12x2+1 3xy+2y2-1Q=D The appropriate rotation formulas are x = |:| and y = |:|. [Simplify your answersI including anyr radicals. Use integers or fractions for any numbers in the expression. Rationalize all denominators.) For the equation. 512 - 14):)I + 55:2 - 35 = 0. complete the following questions. a. Rewrite the equation in a rotated x'y'-system without an x'y'-term. Use the appropriate rotation formulae. b. Express the equation involving 3:\" and y' in the standard form of a oonio section. 6. Use the rotated system to graph the system. a. The equation in a rotated x'y'-svstem is :l. (Simplify your answer.) b. The equation involving :6 and y' in the standard form eta oonic section is :I. [Use integers or fractions for any numbers in the equation.) G. Choose the correct graph below. C) B