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Section 10.3 & 10.4: Solving Quadratic Equations Vertex: Axis of Symmetry: Solving a Quadratic: Solving by Graphing Example 1: __________________ Example 3: ____________________ - Find the vertex: - Find the vertex: - Find the axis of symmetry: - Find the axis of symmetry: - Solve for x: - Solve for x: Example 2: __________________ Example 4: ____________________ - Find the vertex: - Find the vertex: - Find the axis of symmetry: - Find the axis of symmetry: - Solve for x: - Solve for x: Solving Without Graphing !!! Method 1:_________________________ 1. 𝑥 2 − 4 = 0 1 2. 2𝑥 2 + 4 = 0 3. 2 𝑥 2 = 0 4. 𝑥 2 − 1 = 0 5. 2𝑥 2 − 98 = 0 6. 3𝑥 2 + 12 = 12 7. 4 𝑥2 − 1 = 0 9 8. 1 6 𝑥2 − 6 = 0 Solving Without Graphing !!! Method 2:_________________________ Property: Zero-Product Property (ZPP) Solve each quadratic using the Zero-Product Property. 1. (𝑥 + 5)(2𝑥 − 6) = 0 2. (6𝑘 + 9)(4𝑘 − 11) = 0 How can you make this look like a problem where we can use the ZPP??? 3. Solve 𝑦 = 𝑥 2 + 3𝑥 − 4 Step 1: Step 2: Step 3: Step 4: 4. 𝑥 2 + 6𝑥 = −8 5. 2𝑥 2 − 5𝑥 = 88 6. 3𝑥 2 − 2𝑥 = 21 7. 𝑦 = 𝑥 2 + 𝑥 − 42 8. 6 = 𝑥 2 − 5𝑥 9. 𝑦 = 8𝑥 2 + 24𝑥 How do I Solve???