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Vertex Form of Parabolas Date_____ Period____ Use the information provided to write the vertex form equation of each parabola. 1) y = x2 + 16 x + 71 2) y = x2 − 2x − 5 3) y = −x2 − 14 x − 59 4) y = 2x2 + 36 x + 170 5) y = x2 − 12 x + 46 6) y = x2 + 4x 7) y = x2 − 6x + 5 8) y = (x + 5)(x + 4) 9) 1 2 (y + 4) = (x − 7)2 10) 6x2 ...
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Use the information provided to write the vertex form equation of each parabola.
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Vertex Form Practice Use the information provided to write the vertex form equation of each parabola. 1) y = x2 − 4x + 5 2) y = x2 − 16 x + 70 3) y = x2 − 4x + 2 4) y = −3x2 + 48 x − 187 5) y = −2x2 − 12 x − 12 6) y = 3x2 + 18 x + 18 7) y = 2x2 + 3 8) y = 4x2 − 56 x + 200 9) y = −8x2 − 80 x − 199 10) y = −2x2 + 20 x ...
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In exercises 5‐14, find an equation for the parabola that satisfies the given condition. Use Use transformational form (just like the notes, the quantity squared will be isolated).
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F.IF.C.8.VertexFormofaQuadratic. Compare the quantity in Column A with the quantity in Column B. ( x ) 2 ( x 3 ) 2 5 Column A maximum value of f ( x ) Column B. ( 3) [A] The quantity in Column A is greater. [B] The quantity in Column B is greater. [C] The two quantities are equal.
Vertex Form of a Quadratic Equation. Example 1 Graph a Quadratic Equation in Vertex Form Analyze y = (x – 3)2 – 2. Then draw its graph. This function can be rewritten as y = [x – (3)]2 – 2. Then h = 3 and k = –2. The vertex is at (h, k) or (3, –2), and the axis of symmetry is x = 3.
