Vertex Form & Standard Form Practice Name Vertex Form: f(x) = a(x - h)2+k Standard Form: f(x) = ax2 + bx+ c X= 1 f (x) = 2(x- 1)2-3 Which form is this equation Vertex written in? Vertex Axis of Symmetry: Will the parabola open up or 1 down? UP Is the vertex a minimum)or maximum? Transformations: * Move 1 unit to the rightt Use the workspace below to * 2 in the Upper direction create a table and graph the * 3 units down parabola. x y X = 1 * = - (- 4 ) = 1 - 3 2 . 2 Y = - 3 3 4 75 29 Short Answer Questions If a = 3, what do we know about the parabola? If a = -1/2, what do we know about the parabola? If a = 1/4, what do we know about the parabola? Find the vertex of this parabola. f(x) = -2x2 +4x+1 Erica Higashf (x) =-x2 +2x-1 Which form is this equation written in? Axis of symmetry: Vertex: d = b = C = Will the parabola open up or y-intercept: down? Use the workspace below to Is the vertex a minimum or create a table and graph the maximum? parabola. X y Three Truths and a Lie: Which one is the lie? A) The graph of y = 2x2 + 5x - 4 is narrower than the graph of y = = x B) The vertex of y = x2 + 6x - 1 is (-3, -10). C) The vertex of y = -4(x+ 2) 2 + 5 is (2, 5). D) The graph of y = -3x2 + 5x opens down. Explain: Convert this equation to standard form. f (xx ) = -3(x+ 4) 2 - 2 standard Form =(xx ) = ax? fbx +c f(x) = - 3X2- 24x-50 a= - 3 6= -24 C = 50 - 3 ( x + 4 ) 2 - 2 Convert this equation to vertex form. f(x) =x2 -6x+19 (Xy Erica Higashi, 2022y = -2(x + 1)2+3 X y Vertex: Axis of Symmetry: Does the parabola open up or down? Is the vertex a minimum or maximum? Transformations: X y Vertex: Axis of Symmetry: y = 3(x -3)2-5 Does the parabola open up or down? Is the vertex a minimum or maximum? Transformations: y = 2(x - 1)2 X y Vertex: Axis of Symmetry: Does the parabola open up or down? Is the vertex a minimum or maximum? Transformations: Match each graph with it's corresponding equation. Explain why you chose each equation. A) y = (x+2)2 B ) y = (x+ 2 ) 2 - 3 C) y = 2 ( x + 2 ) 2 D) y = 2(x - 2) 2 Equation: A - B- C- D Equation: A - B - C - D Explain: Equation: A - B - C - D Equation: A - B- C- D Explain: Explain: Explain: Erica Higashi, 2022tory Vertex Form Practice #1 Name Nahbrew Glennisy Vertex Form y = a(x - h)2+k, where (h, k) is the vertex Find the vertex of the parabola represented by each equation. y = 2(x -4)2+6 Vertex: (4/ 6 ) y = -3(x - 6)2 Vertex: y = (x+7)2-2 Vertex: y = 3(x+ 7) 2 -1 Vertex: y = -(x-8)2-3 Vertex: y = - (x+5)2 Vertex: y = (x+1)2-2 Vertex: Axis of Symmetry: X y Complete the table and graph the parabola. -3 -2 -1 0 y = -(x- 2)2 +4 Vertex: Axis of Symmetry: X y Complete the table and graph the parabola. 0 1 2 3 4 y = (x+3)2 Vertex: Axis of Symmetry: X y Complete the table and graph the parabola. -5 -4 -3 -2 -1 Erica Higashi, 2022