Explain to me how to get the answers please or just show work. We're already given the answers I just want to know how to get them.

9. Quadratics. Write the equation in standard (vertex) form y = a(x - h)~ + k. Sketch a graph and include the vertex, the y-intercept, and any x-intercepts as ordered pairs ON the graph. a. f (x) = x2 -2x-5 SF :y = (x - 1)2 - 6 ; vertex (1, -6) x - inter. (1 - v6 , 0). (1 + v6,0) ; y - inter. (0, -5) (1+ 6.0) (1- 6,0) 10,-E (1, -6) b. f (x) = -xz+ 6x+2 SF :y = -(x - 3)2 + 11 ; vertex (3, 11) x - inter. (3 + v11,0), (3 - V11,0) ; y - inter. (0, 2) (3, 11) (3+V110) -$ (3-V11, 01 c. f (x) = 6x2 - x - 2 SF: y = 6(x - =)2 ->; vertex( X - inter. (-2. 0) . (.0) :3 - inter. (0. -2) 1 1/2 ON 10721 71/12 -12209. Quadratics. Write the equation in standard (vertex) formy = a(x - h)~ + k. Sketch a graph and include the vertex, the y-intercept, and any x-intercepts as ordered pairs ON the graph. CONT. d. f(x) = -2x2 - 8x + 1 SF :y = -2(x + 2)2 +9; vertex (-2,9) -4- 3V/2 x - inter. 0 ). - 4 + 3V2 2 2 -,0 ;y - inter. (0, 1) (-2,9) ((-4-3 2)/2 0) (0, 1) 10 U (-4+3 2)2, ON 10. Sketch a graph of each of the following piece-wise functions. Be sure to label as ordered pairs on the graph all key points, and all intercepts (if they exist). a. g(x) = (3x-3 , x51 , x>1 11 09 h(x) = (x+2 , x $2 1x 2 x >2 -5- (0, 2) 2, 0) 511. Sketch a Graph of the following functions. Show the appropriate supporting work justifying the shape of your graph. Be sure to label as ordered pairs on the graph all key points, and all intercepts (if they exist), and any asymptotes as equations. a. f(x) = (x - 1)3 (x+ 2)2 (x+1)3 x-intercepts: (-2, 0), (-1, 0), (1, 0); y-intercept (0, -4) ( 1, 0) (1, 0) ( 20)2 -2 (0. 4) b. f (x) = -x (x2 - 4)(x -1)2 (x+1)2 x-intercepts: (-2, 0), (-1, 0), (0, 0), (1, 0), (2, 0); y-intercept (0, 0) (-2, 0) ( 1,0) (0) (2, 0) 9 (0. 0)11. Sketch a Graph of the following functions. Show the appropriate supporting work justifying the shape of your graph. Be sure to label as ordered pairs on the graph all key points, and all intercepts (if they exist), and any asymptotes as equations. CONT. x+2 c. f (x) = x2+ 2x - 3 VA: x= -3, x= 1; HA: y = 0; x-intercept: (-2, 0); y-intercept (0, =) 2- (-2, 0) -6 -2 2 (0. -0.667) -2 x2-25 d. f(x) = x2+ 4x - 12 VA: X= -6, x= 2; HA: y = 1; x-Intercepts: (-5, 0), (5,0); y-Intercept (0, ) (0, 2 083) -15 -10 (-5.0) (5, 0) 1011. Sketch a Graph of the following functions. Show the appropriate supporting work justifying the shape of your graph. Be sure to label as ordered pairs on the graph all key points, and all intercepts (if they exist), and any asymptotes as equations. CONT. e. f (x ) = x+2 x2 + x - 2 VA: x = 1; HA: y = 0; x-intercept: none; y-intercept (0,-1); Hole @ (-2, -1/3) 5 (-2, -1/3) -5 O- (o. -1) 5 10 -5 f. f (x) = *+x-2 x+2 VA: none; HA: none; x-intercept: (1,0); y-intercept (0,-1); Hole @ (-2, -3) (1, 0) -5 5 (0, -1) (-21 -3) -5