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Identify the VERTEX. ( , ) Identify the AXIS OF SYMMETRY. x = Identify the y-intercept. (0, ) Identify the x-intercept(s). 0 and 8 0 and 4 2 none Identify the DOMAIN. y ≥ 4 x ≥ 2 -1 ≤ x ≤ 5 all real numbers Identify the RANGE. y ≥ 4 x ≥ 2 4 ≤ y ≤ 10 all real numbers Describe the TRANSFORMATION from f(x) = x2 to h(x) = -2x2 AND the parabola has a vertical shrink vertical stretch translates down 2 translates left 2 The parabola opens (up/down) Describe the TRANSFORMATION from f(x) = x2 to p(x) = 4x2 + 1 AND the parabola has a vertical shrink and translates right 1 vertical stretch and translates right 1 vertical shrink and translates up 1 vertical stretch and translates up 1 The parabola opens (up/down) Describe the TRANSFORMATION from f(x) = x2 to r(x) = 2(x-10)2 AND the parabola has a vertical shrink and translates right 10 vertical stretch and translates right 10 vertical shrink and translates left 10 vertical stretch and translates left 10 The parabola opens (up/down) Describe the TRANSFORMATION from f(x) = x2 to m(x) = -⅓x2 - 4 AND the parabola has a vertical shrink and translates down 4 vertical stretch and translates right 4 vertical shrink and translates left 4 vertical stretch and translates down 4 The parabola opens (up/down) (focus your attention on g(x)!!!) up 3 down 3 left 3 right 3 The line shifted Describe the TRANSFORMATION from the graph of f to the graph of g Describe the TRANSFORMATION from the graph of f to the graph of g f(x) = x and g(x) = 2f(x) vertical stretch (steeper) vertical shrink (less steep) slides up 2 slides right 2 (focus your attention on g(x)!!!) The parabola opens (up/down) It dilated and now it is (narrow/wide) Describe the graph. (did you type it in y= to see what it looked like???) The vertex is ( , ) h(x) = -⅓x2 The parabola opens (up/down) It dilated and now it is (narrow/wide) Describe the graph. (did you type it in y= to see what it looked like???) The vertex is ( , ) h(x) = 2(x+3)2-5 Write the equation of the quadratic function that passes through (0, 0), (2, 2) and (4, 0). x y (create table, use STAT...STAT calc 5) y = -½x2 + x+0 ( y = ax2 + bx + c ) Find the ZEROS. f(x) = 3x2 - 6x - 45 and - k(x) = 2(x - 1)(x + 7) and - j(x) = (x - 9)(x + 5) and - g(x) = x2 - 16 and - (type it in y= and look at graph or table!!!) All real numbers ? Domain Rangey ≥ Zeros -5, -1 ? Identify the.... -4 ? extra answers -3, -4 ? y = 2(x - 5)2 + 1 f(x) = -½(x - 3)2 Find the VERTEX of the graph of the function. (did you type it in y= to see the graph???) ( , ) ( , ) y = 2x2 -8x + 3 f(x) = x2 - 2x - 8 Find the AXIS of SYMMETRY of the function. (did you type it in y= to see the graph???) x = x = MATCH the graph to the equation. D ? A ? F ? C ? B ? E ? |