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Exercises - Parabolas. Write each quadratic function in the form y = a(x − h)2 + k y = a (x − h) 2 + k and sketch its graph. Identify the vertex, axis of symmetry, y y -intercept, x x -intercepts, and direction of opening (up or down) of each parabola, then sketch the graph.
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.
16 Νοε 2022 · 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.
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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?
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 5) Vertex: (−5, 8), Focus: (− 21 4, 8) x = −(y − 8)2 − 5
Find an equation for the parabola that satisfies the given condition. Use transformational form. 1. Vertex: :4,3 ;, Focus: :4,0 ; 2. Focus: :8,7 ;, directrix: U L5 3. In order to watch the Armed Forces Network, you need an AFN decoder along with a satellite. In order
