1. Quadratic Equations – Intersection – Worksheet

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3. -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

4. Half Answers -0.5 , 4.4 -1.8 , 2.8 -1 , 2 - 𝑦=𝑥2+2𝑥−3 0=𝑥2+𝑥−2 𝑦=0+𝑥−1B 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

5. 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

6. -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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