Quadratic Functions- Vertex Form

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 Which graph represents the function f(x) = -x2 + 5? A Which function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 + 5 f(x) = -(x – 4)2 + 5 f(x) = (x – 5)2 + 4 f(x) = -(x – 5)2 + 4 B The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. Which graph represents g(x)? A Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4? left 3, up 4 right 3, down 4 left 3, down 4 right 3, up 4 A The graph shows the axis of symmetry for a quadratic function f(x). Which could be the function? f(x) = (x + 4)2 f(x) = x2 + 4 f(x) = (x – 4)2 f(x) = x2 – 4 C The graph of f(x) = x2 is translated to form g(x) = (x – 2)2 – 3. Which graph represents g(x)? A What is the equation of the translated function, g(x), if f(x) = x2? g(x) = (x – 4)2 + 6 g(x) = (x + 6)2 – 4 g(x) = (x – 6)2 – 4 g(x) = (x + 4)2 + 6 D The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to the right of the vertex of f(x). Which equation represents g(x)? g(x) = (x + 7)2 + 5 g(x) = (x – 7)2 + 5 g(x) = (x + 5)2 + 7 g(x) = (x – 5)2 + 7 B Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 + 6 f(x) = (x + 8)2 + 6 f(x) = (x + 8)2 – 6 f(x) = (x – 8)2 – 6 D The graph of which function is decreasing over the interval (-4, ∞)? f(x) = (x + 4)2 + 4 f(x) = -(x + 4)2 + 4 f(x) = (x – 4)2 – 4 f(x) = -(x – 4)2 – 4 B Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1? B Over what interval is the graph of f(x) = -(x + 8)2 – 1 decreasing? A The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. Which graph represents g(x)? A What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function g(x) = (x – 4)2 + 2? 4 Which graph represents the function f(x) = (x – 5)2 + 3? A

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