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WORD PROBLEMS INVOLVING PARABOLA AND HYPERBOLA. Problem 1 : An engineer designs a satellite dish with a parabolic cross section. The dish is 5 m wide at the opening, and the focus is placed 1 2 . m from the vertex.
Questions and Problems. Find the x and y intercepts, the vertex and the axis of symmetry of the parabola with equation \ ( y = - x^2 + 2 x + 3 \)? What are the points of intersection of the line with equation \ ( 2x + 3y = 7 \) and the parabola with equation \ ( y = - 2 x^2 + 2 x + 5\)?
Parabola - practice problems. Direction: Solve each problem carefully and show your solution in each item. Number of problems found: 22. What is 25. What is the trunk of 8 and 10? Suppose 10. Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B. Parabola with abs. A).
D) Word Problem . 1. A hyperbolic mirror (used in some telescopes) has the property that a light ray directed at a focus will be reflected to the other focus (see figure). The focus of a hyperbolic mirror has coordinates (24,0). Find the vertex of the mirror if its mount has coordinates (24,24).
Sal solves a word problem about a ball being shot in the air. The equation for the height of the ball as a function of time is quadratic.
Page 1 Page 2. Page 3. To solve quadratic max/min problems, translate to create the quadratic model. Then solve for the vertex, where the maximum or minimum value occurs.
Here's a video by Ms. Feeley going over some word problems involving parabolas. Common applications include quadratic word problems, optimization, projectile motion, and other real-world things (like parabolic mirrors, satellite dishes, and car headlights).
