Algebra: Completing the square 7

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Presentation transcript:

Algebra: Completing the square 7 Silent Teacher Intelligent Practice Narration Your Turn Find the coordinates of the turning point of the graph 𝑦= 2𝑥 2 −4𝑥+1 Find the coordinates of the turning point of the graph 𝑦= 2𝑥 2 −4𝑥+1 Example For more videos visit mrbartonmaths.com/videos

Find the coordinates of the turning point of the graph 𝑦= 𝑥 2 −2𝑥+3 Worked Example Your Turn Find the coordinates of the turning point of the graph 𝑦= 𝑥 2 −2𝑥+3 Find the coordinates of the turning point of the graph 𝑦= 𝑥 2 −2𝑥+6 Find the coordinates of the turning point of the graph 𝑦= 2𝑥 2 −2𝑥+3 Find the coordinates of the turning point of the graph 𝑦= 𝑥 2 −2𝑥+6 @mrbartonmaths

Find the coordinates of the turning point of the following graphs: 𝑦= 𝑥 2 +10𝑥+4 𝑦=2𝑥 2 +4𝑥+4 𝑦= 𝑥 2 +10𝑥+3 𝑦=2𝑥 2 +4𝑥+3 𝑦= 𝑥 2 +10𝑥+2 𝑦=2𝑥 2 +4𝑥+2 𝑦= 𝑥 2 +10𝑥+1 𝑦=2𝑥 2 +4𝑥+1 𝑦= 𝑥 2 −10𝑥−1 𝑦=2𝑥 2 −4𝑥−1 𝑦= 𝑥 2 −10𝑥−2 𝑦=2𝑥 2 −4𝑥−2 𝑦=𝑥 2 −10𝑥−3 𝑦=2𝑥 2 −4𝑥−3 𝑦=𝑥 2 −10𝑥−4 𝑦=2𝑥 2 −4𝑥−4 @mrbartonmaths

Find the coordinates of the turning point of the following graphs: 𝑦= 𝑥 2 +10𝑥+4 (−5,−21) 𝑦=2𝑥 2 +4𝑥+4 (−1,2) 𝑦= 𝑥 2 +10𝑥+3 (−5,−22) 𝑦=2𝑥 2 +4𝑥+3 (−1,1) 𝑦= 𝑥 2 +10𝑥+2 (−5,−23) 𝑦=2𝑥 2 +4𝑥+2 (−1,0) 𝑦= 𝑥 2 +10𝑥+1 (−5,−24) 𝑦=2𝑥 2 +4𝑥+1 (−1,−1) 𝑦= 𝑥 2 −10𝑥−1 (5,−26) 𝑦=2𝑥 2 −4𝑥−1 (1,−3) (5,−27) (1,−4) 𝑦= 𝑥 2 −10𝑥−2 𝑦=2𝑥 2 −4𝑥−2 (5,−28) 𝑦=𝑥 2 −10𝑥−3 (1,−5) 𝑦=2𝑥 2 −4𝑥−3 (5,−29) 𝑦=𝑥 2 −10𝑥−4 (1,−6) 𝑦=2𝑥 2 −4𝑥−4 @mrbartonmaths