Question

2. For the following quadratic equations, find the vertex, and y inter- cepts, determine whether the parabola opens up, down, right or left and say whether it is tighter, wider or the same thightness as the standard parabola. You do not have to graph the parabola. (a) y-2 3r - 1 (b) y 3r2+5x +4 (d) y 2r2 8x +8 (e) 27 (f) z 5y2 +2y 1

Answer 1

2. For the following quadratic equations, find the vertex, z and y inter cepts, determine whether the parabola opens up, down, right or left and say whether it is tighter, wider or the same thightness as the standard parabola. You do not have to graph the parabola. Ans. 9 Compare with:(y-k) 4p(x -h) Vertex= (h,k)=しー2,4 opens down 4p =-1 < 0 p = _ (b) y 3a2 5r +4 Ans

2 5 25 25 3 36 36 5 23 6) 12 23 12 Compare with (y-R)-4p(x-h) 5 23 Vertex -(h,k)12 4p-3 p-->0=> Opens up Ans. +12 v + 36-36)-6→x=- p(y-k) Compare with : (x- h)-4 Vertex (h,k)(6,-6) 4 < 0 → Opens left 4 p → p
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(d) y=2x2 +8x + 8 Ans.: y=2(x +2)2 키 = 2(x+2)2 Compare with: (y-k) 4p(x -h ( h, k ) ะโ-2.0 Vertex -> 0 2 Opens up