Name: ____________________________________ Quadratic Functions in Factored Form Write each function in factored form. Identify the x-­‐intercepts. Then draw a sketch of the graph using these x-­‐intercepts and showing the direction of the parabola. Example: 𝑦 = 𝑥 ! + 𝑥 − 6 Factored Form: Graph: X-­‐intercepts/Roots/Zeros: 1. 𝑦 = 𝑥 ! + 6𝑥 + 5 Factored Form: Graph: X-­‐intercepts/Roots/Zeros: 2. 𝑦 = 𝑥 ! + 4𝑥 Factored Form: Graph: X-­‐intercepts/Roots/Zeros: 3. 𝑦 = 𝑥 ! + 6𝑥 + 9 Factored Form: Graph: X-­‐intercepts/Roots/Zeros: 4.
𝑦 = −𝑥 ! − 3𝑥 + 28 Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: 5.
𝑦 = 3𝑥 ! − 18𝑥 6.
𝑦 = −𝑥 ! − 6𝑥 − 8 7.
𝑦 = 𝑥 ! + 7𝑥 8.
𝑦 = 𝑥 ! + 8𝑥 + 7 9.
𝑦 = 2𝑥 ! − 18𝑥 + 36 Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: 10. 𝑦 = −𝑥 ! − 6𝑥 + 16 11. 𝑦 = 𝑥 ! − 3𝑥 − 28 12. 𝑦 = −5𝑥 ! + 55𝑥 − 90 13. 𝑦 = −𝑥 ! + 8𝑥 14. 𝑦 = 𝑥 ! + 5𝑥 − 24 Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: Factored Form: X-­‐intercepts/Roots/Zeros: Graph: 15. 𝑦 = −4𝑥 ! + 4𝑥 + 8 16. 𝑦 = 6𝑥 ! + 66𝑥 + 60 17. 𝑦 = −𝑥 ! + 15𝑥 − 50 18. 𝑦 = 7𝑥 ! − 42𝑥 + 63