Αποτελέσματα Αναζήτησης
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.
What is the equation of the parabola with x intercepts at \( x = 2\) and \( x = -3\), and a y - intercept at \( y = 5\)? Find the equation of the parabola \( y = a x^2 + b x + c \) that passes through the points \( (0,3) \) , \( (1,-4)\) and \( (-1 , 4)\).
Course: Algebra 1 > Unit 14. Lesson 1: Intro to parabolas. Parabolas intro. Parabolas intro. Interpreting a parabola in context. Interpret parabolas in context. Interpret a quadratic graph.
For the following exercises, graph the parabola, labeling vertex, focus, and directrix. 26. \(x^{2}+4 y=0\) 27. \((y-1)^{2}=\frac{1}{2}(x+3)\) 28. \(x^{2}-8 x-10 y+46=0\) 29. \(2 y^{2}+12 y+6 x+15=0\) For the following exercises, write the equation of the parabola using the given information. 30. Focus at (-4,0) ; directrix is \(x=4\) 31.
We will learn how to solve different types of problems on parabola. 1. Find the vertex, focus, directrix, axis and latusrectum of the parabola y \(^{2}\) - 4x - 4y = 0. Solution: The given equation of the parabola is y\(^{2}\) - 4x - 4y = 0. ⇒ y\(^{2}\) - 4y = 4x. ⇒ y\(^{2}\) - 4y + 4 = 4x + 4, (Adding 4 on both sides)
Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
40 PRACTICE PROBLEM. By completing the square, write the given equation into the standard form, and then identify the vertex, focus, and directrix of the parabola. Also, graph the parabola in a rectangular coordinate system.
