# MAT-121 Written Assignment 4.docx - MAT-121 COLLEGE ALGEBRA...

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MAT-121: COLLEGE ALGEBRA Written Assignment 4 2.5 points each SECTION 5.1 Algebraic For the following exercise, rewrite the quadratic function in standard form and give the vertex. 1. y = 4 x 2 + 5 x 7 h = 5 2 ( 4 ) h = 5 8 k = 4 ( 5 8 ) 2 + 5 ( 5 8 ) 7 k = 4 ( 25 64 ) + 5 ( 5 8 ) 7 k = 25 16 25 8 7 k = 25 16 50 16 112 16 k = 137 16 Vertex: ( 5 8 , 137 16 For the following exercise, determine whether there is a minimum or maximum value to the quadratic function. Find the value and the axis of symmetry. 2. y = 1 3 x 2 4 x + 9 h = 4 2 3 h = 6 Minimum is -3 which occurs at 6. k = 1 3 ( 6 ) 2 4 ( 6 ) + 9 k = 12 24 + 9 k =− 3 Axis of symmetry: x = 6 ) Copyright © 2019 by Thomas Edison State University. All rights reserved.
For the following exercise, rewrite the quadratic function in standard form and give the vertex. Determine whether there is a minimum or maximum value to the quadratic function. Find the value and the axis of symmetry. Determine the domain and range of the quadratic function.
For the following exercise, use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function.
5. An athletic stadium holds 105,000 fans. With a ticket price of \$22, the average attendance has been 32,000. When the price dropped to \$16, the average attendance rose to 50,000. Assuming that attendance is linearly related to ticket price, what ticket price would maximize revenue? Round ticket price to the nearest ten cents.