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Parts of quadratics and parabolas in standard form 2 Standard form = 𝑎𝑥 + 𝑏𝑥 + 𝑐 Standard Form 𝑎𝑥 + 𝑏𝑥 + 𝑐 2𝑥 + 8𝑥 − 5 How to write answer To find x: To find x: (x,y) 2 Vertex −𝑏 2𝑎 To find y: Plug answer for x into x and solve for y Example 2 −8 2(2) = − 8 4 = −2 To find y:4 Plug answer for x into x and solve for y 2 2(− 2) + 8(− 2) − 5 2(4) − 16 − 5 8 − 16 − 5 − 13 Vertex = (-2,-13) Direction of opening If a>0 then it opens up If a<0 then it opens down a=2 2>0 so it opens up Opens up/down Maximum or minimum If it opens up, there is a minimum If it opens down there is a maximum Opens up so there is a minimum y=# min/max is the y from the vertex Minimum: y=-13 X from the vertex Vertex = (-2,-13) Axis of Symmetry Vertex = (-2,-13) Or may just want the number without y= x=# Axis of Symmetry: x=-2 Domain Domain for quadratics/parabolas is always: All real numbers (− ∞, ∞) Domain for quadratics/parabolas is always: All real numbers (− ∞, ∞) (− ∞, ∞) Range Range is the lowest to highest point *y is the y from the vertex* Vertex = (-2,-13) (#,∞) OR (-∞,#) If opens up: (𝑦, ∞) Range: (− 13, ∞) If opens down: (− ∞, 𝑦) Opens up