Quadratic Equations – Intersection – Worksheet

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-1 , 2 - 𝑦=𝑥2+2𝑥−3 0=𝑥2+𝑥−2 𝑦=0+𝑥−1 𝑦=𝑥−1 A B 𝑦=𝑥2+2𝑥−3 𝑦=𝑥2−3𝑥−4 𝑦=𝑥2−4 6 6 6 4 4 4 𝑦=𝑥−1 2 2 2 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -2 -2 -4 -4 -4 -6 -6 -6 Use the graph to solve: 𝑥2+𝑥−2=0 Use the graph to solve: 𝑥2−4𝑥−2=0 Use the graph to solve: 𝑥2−𝑥−5=0 C 𝑦 D 𝑦 Subtract the equation to solve from the given graph. 𝑦=𝑥2+4𝑥−3 𝑦=𝑥2−4𝑥+2 6 6 𝑦=𝑥2+2𝑥−3 4 4 - 2 2 0=𝑥2+𝑥−2 𝑦=0+𝑥−1 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -2 2) Plot the graph. 𝑦=𝑥−1 -4 -4 3) Find the 𝑥 -coordinates where the lines intersect. -6 -6 The 𝑥 -coordinates are the solutions to the equation. -1 , 2 Use the graph to solve: 𝑥2−4𝑥−1=0 Use the graph to solve: 𝑥2+2𝑥−1=0

Half Answers -0.5 , 4.4 -1.8 , 2.8 -1 , 2 - 𝑦=𝑥2+2𝑥−3 0=𝑥2+𝑥−2 𝑦=0+𝑥−1 B 𝑦 𝑦=𝑥2+2𝑥−3 𝑦=𝑥2−3𝑥−4 𝑦=𝑥2−4 6 6 6 4 4 4 𝑦=𝑥−1 2 2 𝑦=𝑥−2 2 𝑦=𝑥+1 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -2 -2 -4 -4 -4 -6 -6 -0.5 , 4.4 -6 -1.8 , 2.8 Use the graph to solve: 𝑥2+𝑥−2=0 Use the graph to solve: 𝑥2−4𝑥−2=0 Use the graph to solve: 𝑥2−𝑥−5=0 C 𝑦 D 𝑦 Subtract the equation to solve from the given graph. 𝑦=𝑥2+4𝑥−3 𝑦=𝑥2−4𝑥+2 6 6 𝑦=𝑥2+2𝑥−3 4 4 - 2 2 0=𝑥2+𝑥−2 𝑦=0+𝑥−1 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -2 2) Plot the graph. 𝑦=𝑥−1 -4 -4 3) Find the 𝑥 -coordinates where the lines intersect. -6 -6 The 𝑥 -coordinates are the solutions to the equation. -1 , 2 Half Answers Use the graph to solve: 𝑥2−4𝑥−1=0 Use the graph to solve: 𝑥2+2𝑥−1=0

𝑦 A 𝑦 B 𝑦 𝑦=𝑥2+2𝑥−3 𝑦=𝑥2−3𝑥−4 𝑦=𝑥2−4 6 6 6 4 4 4 𝑦=𝑥−1 2 2 𝑦=𝑥−2 2 𝑦=𝑥+1 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -2 -2 -4 -4 -4 -6 -6 -0.5 , 4.4 -6 -1.8 , 2.8 Use the graph to solve: 𝑥2+𝑥−2=0 Use the graph to solve: 𝑥2−4𝑥−2=0 Use the graph to solve: 𝑥2−𝑥−5=0 C 𝑦 D 𝑦 Subtract the equation to solve from the given graph. 𝑦=𝑥2+4𝑥−3 𝑦=𝑥2−4𝑥+2 6 6 𝑦=𝑥2+2𝑥−3 4 4 - 2 2 0=𝑥2+𝑥−2 𝑦=3 𝑦=2𝑥−2 𝑦=0+𝑥−1 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -2 2) Plot the graph. 𝑦=𝑥−1 -4 -4 3) Find the 𝑥 -coordinates where the lines intersect. -6 -0.2 , 4.2 -6 -2.4 , 0.4 The 𝑥 -coordinates are the solutions to the equation. -1 , 2 Use the graph to solve: 𝑥2−4𝑥−1=0 Answers Use the graph to solve: 𝑥2+2𝑥−1=0

-1 , 2 - 𝑦=𝑥2+2𝑥−3 0=𝑥2+𝑥−2 𝑦=0+𝑥−1 𝑦=𝑥−1 A B 𝑦=𝑥2+2𝑥−3 𝑦=𝑥2−3𝑥−4 𝑦=𝑥2−4 6 6 6 4 4 4 𝑦=𝑥−1 2 2 2 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -2 -2 -4 -4 -4 -6 -6 -6 Use the graph to solve: 𝑥2+𝑥−2=0 Use the graph to solve: 𝑥2−4𝑥−2=0 Use the graph to solve: 𝑥2−𝑥−5=0 C 𝑦 D 𝑦 Subtract the equation to solve from the given graph. 𝑦=𝑥2+4𝑥−3 𝑦=𝑥2−4𝑥+2 6 6 𝑦=𝑥2+2𝑥−3 4 4 - 2 2 0=𝑥2+𝑥−2 𝑦=0+𝑥−1 -2 -1 𝑂 1 2 3 4 𝑥 -2 -1 𝑂 1 2 3 4 𝑥 -2 -2 2) Plot the graph. 𝑦=𝑥−1 -4 -4 3) Find the 𝑥 -coordinates where the lines intersect. -6 -6 The 𝑥 -coordinates are the solutions to the equation. -1 , 2 Use the graph to solve: 𝑥2−4𝑥−1=0 Use the graph to solve: 𝑥2+2𝑥−1=0

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