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For Exercises 41–54, write the equation in the form
. Then if the equation represents a
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COLLEGE ALGEBRA-ACCESS
- In Exercises 47–50, determine the x-intercepts of the graph of each quadratic function. Then match the function with its graph, labeled (a)-(d). Each graph is shown in a [-10, 10, 1] by [-10, 10, 1] viewing rectangle. 47. у 3D х2 -бх + 8 48. y = x? – 2r – 8 49. y = x² + 6x + 8 50. y = x² + 2x – 8 а. b. C. d.arrow_forwardThe function, f(x) = –2x² + x + 5, is in standard form. The What are the zeros of the function quadratic equation is 0 = -2x + x + 5, where a = -2, b = 1, and c = 5. The discriminate b2 – 4ac is 41. Now, complete step 5 to solve for the zeros of the quadratic function. f(x) = x + 5 – 2x2? x = -1±/4T -4 5. Solve using the quadratic formula. O x= 1±/41 -4 -b±yb²- 4ac_ x = 2a x = -1±/39 - 4 X = 1±/39 - 4arrow_forward2. Write a quadratic equation that goes through the point (2, 2) and has the vertex of (-1,-3). Larrow_forward
- Give your answers in the form y=mx + c. 5 a (5, 2) and (13, 6) b (3, 1) and (21, 7)arrow_forwardThe figure shows that the points (6, 12) and (8, 10) lies on a circle represented by the equation(x−h)2+(y−k)2=r. Given that h = 0, how would you use (6, 12) and (8, 10) to find the values of k and r? Write two equations that you can use to find the values of k and r.arrow_forwardFind the equation of the line through point (−6,−1) and perpendicular to the line y=−2/9x−6, in standard form Ax+By=C.Hint: try writing the equation in another form first, then put your equation in the form Ax+By=Carrow_forward
- A billiards table is 8 feet by 4 feet, and has pockets in all four corners and in the middle of the two longer sides; we can visualize this as a rectangle in R2 and assume that the bottom left pocket is at the origin and the top right pocket is at (8, 4). A ball starts at the point (1, 2) and is hit in the direction ⟨5, −2⟩. Does the ball go into a pocket before it bounces off three walls and, if so, which one?arrow_forwardWrite the given equation in the form. (x-h)2 + (y-k)2= r2. Identify the centre and radius 2x2+2y2+ 16x-20y+ 50=0arrow_forwardFind the vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL