5 0 a 5 p q in which direction does the parabola

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Unformatted text preview: 1 3 ) 2 2 +3 8. a) y = (x − 8)2 + 10 6.a) y 2 ( d) y = x − 9 4 ) 2 ) 2 y = (x−3)2 + 2 b) y = x2 y 4 y = x2 6 −9 7 4 b) y = (x + 3)2 − 9 2 2 −4 c) y = ( x ± 5 ) 2 − 2 5 −2 −2 y = (x−3)2 −2 0 2 4 0 x y = (x+2)2 − 3 2 x y = x2 − 3 PRE-CALCULUS 11 Unit 1 – Day 5: COMBINING TRANSFORMATIONS The vertex form of a quadratic function’s equation is y = a(x − p)2 + q or f(x) = a(x − p)2 + q , where the variables are x and y; the function’s name is f; and the parameters are a, p, and q. GRAPHING y = a(x − p)2 + q ............ or yq = (x − p)2 a example: Sketch the graph of y = 2(x + 5)2 − 7 y by identifying a, p, and q; 5 describing how each of these parameters will transform the graph of the basic quadratic function; applying each transformation in order (draw a sequence of graphs). −5 0 a= −5 p= q= • In which direction does the parabola open? • What are the coordinates of the parabola’s vertex? • What is the equation of parabola’s axis of symmetry? • What is the domain and ra...
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