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8.2 - Equations and Graphs of Parabolas Practice Test Name: Date: 1. Which graph displays the function f(x) = (2x +3)(x 2)? A. B. C. D. page 1
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
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.
8.1 Parabolas. A parabola is the set of all points in a plane equidistant from a particular line (the directrix) and a particular point (the focus) in the plane. Vertical focal axis. Equation: . 2 x h . 4 p . y . k. . Vertex: h , k . Axis: x h Focus: h , k p Directrix: y k p.
All of our 8th grade math worksheets are topic-specific, printable (they are available as pdf files), and include a complete answer key. This is the only 8th grade math worksheets library you will ever need--simply pick your topic, select a worksheet, click and download.
Equations worksheets for grade 8 help students in practicing questions on equations related to arithmetic operations such as algebraic expressions, linear equations, and geometric functions. These 8th grade math worksheets help students in not only math skills but also logical skills that can be used in real life.
PRECALCULUS PROBLEM SESSION #14- PRACTICE PROBLEMS . Parabolas . A) Find the vertex, focus, and directrix of the parabolas and sketch its graph. 1. 𝑦= 1 2. 𝑥. 2. 2. 𝑦. 2 = −6𝑥 3. 𝑥. 2 + 6𝑦= 0 4. (𝑥−1) 2 + 8(𝑦+ 2) 5. (𝑥+ 5) + (𝑦−1) 2 = 0 6. 𝑥+ 3 2 2 = 4(𝑦−2) 7. 𝑥+ 1 2 2 = 4(𝑦−1) 8. 𝑦= 1 4 ...
