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Writing Equations of Parabolas Date_____ Period____ Use the information provided to write the vertex form equation of each parabola. 1) Vertex at origin, Focus: (0, − 1 32) y = −8x2 2) Vertex at origin, Focus: (0, 1 8) y = 2x2 3) Vertex at origin, Directrix: y = 1 4 y = −x2 4) Vertex at origin, Directrix: y = − 1 8 y = 2x2
16 Νοε 2022 · For problems 8 – 10 convert the following equations into the form y = a(x −h)2 +k y = a (x − h) 2 + k. Here is a set of practice problems to accompany the Parabolas section of the Common Graphs chapter of the notes for Paul Dawkins Algebra course at Lamar University.
These worksheets explain how to graph parabolas and write the standard equations for parabolas. They will also calculate focus, vertex, and directrix, match parabolic equations with the correct graphs, write equations, and more.
parabola whose equation is y = x2 2x 8? A. (4;0) B. (0;4) C. ( 8;0) D. (0; 8) 13. When f(x) = x2 4x + 7 is written in the form f(x) = (x 2)2 + 3, which properties of the graph are revealed? A. Axis of symmetry, maximum B. Axis of symmetry, minimum C. Zeros, maximum D. Zeros, minimum 14. Which equation is equivalent to y = 3x2 +6x +5?
Vertex: (−5, 2) Axis of Sym.: x = −5. Vertex: (−2, −1) Axis of Sym.: x = −2. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com.
10A Mathematics - Parabolas Worksheet. 1. 7A State the transformations that are applied to y = x2 to form the following rules. (For example, y = 3x2 – 4 is narrower and translated 4 units down). 2. 7B Determine the rule for the graph below in the form y = a(x – h)2 + k. 3. 7B Sketch the graph of y = ( x − 1) 2 + 4 .
Parabola X-Axis Intercepts. 1.\:\:x-intercepts\:x^ {2} 2.\:\:x-intercepts\:2x^ {2} 3.\:\:x-intercepts\:x^ {2}+4. 4.\:\:x-intercepts\:x^ {2}+1. 5.\:\:x-intercepts\:x^ {2}-6x-2. 6.\:\:x-intercepts\:x^ {2}+x+1. 7.\:\:x-intercepts\:4x^ {2} 8.\:\:x-intercepts\:3x^ {2}
