Problem 1AYU: 1. List the intercepts of the equation y = x2 - 9. (pp. 18-19)
Problem 2AYU Problem 3AYU: To complete the square of x 2 5x , you add the number ______. (p. A49) Problem 4AYU: 4. To graph y = (x - 4)2 you shift the graph of y = x2 to the a distance of ... Problem 5AYU: 5. The graph of a quadratic function is called a(n)
.
Problem 6AYU: 6. The vertical line passing through the vertex of a parabola is called the .
Problem 7AYU: The x-coordinate of the vertex of f( x )=a x 2 +bx+c,a0 , is ______. Problem 8AYU: True for False The graph of f(x)=2x2+3x4 opens up. Problem 9AYU: True or False The y-coordinate of the vertex of f( x )= x 2 +4x+5 is f( 2 ) . Problem 10AYU: 10. True or False If the discriminant b2- 4ac = 0, the graph of
f(x) = ax2 + bx + c, a ≠ 0, will... Problem 11AYU: 11. If b2 - 4ac > 0, which of the following conclusions can be
made about the graph of f(x) = ax2 +... Problem 12AYU: 12. If the graph of f(x) = ax2 + bx + c, a ≠ 0, has a maximum
value at its vertex, which of the... Problem 13AYU: In Problems 13-20, match each graph to one the following functions.
13. f(x) = x2 – 1
Problem 14AYU: In Problems 13-20, match each graph to one the following functions.
14. f(x)= -x2 - 1
Problem 15AYU: In Problems 13-20, match each graph to one the following functions. f(x)= x 2 2x+1 Problem 16AYU: In Problems 13-20, match each graph to one the following functions.
16. f(x) = x2 + 2x + 1
Problem 17AYU: In Problems 13-20, match each graph to one the following functions. f( x )= x 2 2x+2 Problem 18AYU: In Problems 13-20, match each graph to one the following functions. f( x )= x 2 +2x Problem 19AYU: In Problems 13-20, match each graph to one the following functions.
19. f(x) = x2 - 2x
Problem 20AYU: In Problems 13-20, match each graph to one the following functions.
20. f(x) = x2 + 2x + 2
Problem 21AYU: In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using... Problem 22AYU: In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using... Problem 23AYU: In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using... Problem 24AYU: In Problems 21-32, graph the function f by starting with the graph of y = x2 and using... Problem 25AYU: In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using... Problem 26AYU: In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using... Problem 27AYU: In Problems 21-32, graph the function f by starting with the graph of y = x2 and using... Problem 28AYU: In Problems 21-32, graph the function f by starting with the graph of y = x2 and using... Problem 29AYU: In Problems 21-32, graph the function f by starting with the graph of y = x2 and using... Problem 30AYU: In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using... Problem 31AYU: In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using... Problem 32AYU: In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using... Problem 33AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 34AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 35AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 36AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 37AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 38AYU: In problems , (a) graph each quadratic function by determining whether its graph opens up or down... Problem 39AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 40AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 41AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 42AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 43AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 44AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 45AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 46AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 47AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 48AYU: In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or... Problem 49AYU: In Problems 49-54, determine the quadratic function whose graph is given. Problem 50AYU: In Problems 49-54, determine the quadratic function whose graph is given. Problem 51AYU: In Problems 49-54, determine the quadratic function whose graph is given. Problem 52AYU: In Problems 49-54, determine the quadratic function whose graph is given. Problem 53AYU: In Problems 49-54, determine the quadratic function whose graph is given. Problem 54AYU: In Problems 49-54, determine the quadratic function whose graph is given. Problem 55AYU: In Problems 55 – 62, determine, without graphing, whether the given quadratic function has a maximum... Problem 56AYU: In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum... Problem 57AYU: In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum... Problem 58AYU: In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum... Problem 59AYU: In Problems 55 62, determine, without graphing, whether the given quadratic function has a maximum... Problem 60AYU: In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum... Problem 61AYU: In Problems 55 62, determine, without graphing, whether the given quadratic function has a maximum... Problem 62AYU: In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum... Problem 63AYU: In Problems 63-74, (a) graph each function, (b) determine the domain and the function, and (c)... Problem 64AYU: In Problems 63-74, (a) graph each function, (b) determine the domain and the function, and (c)... Problem 65AYU: 65. In problem (a) graph each quadratic function, (b) determine the domain and the range of the... Problem 66AYU: 66. In problem (a) graph each quadratic, (b) Determine the domain and the range of the function.... Problem 67AYU Problem 68AYU: 68. In problem (a) graph each function, (b) Determine the domain and the range of the function. (c)... Problem 69AYU: In Problems 63-74, (a) graph each function, (b) determine the domain and the function, and (c)... Problem 70AYU: 70. In problem (a) graph each function, (b) Determine the domain and the range of the function (c)... Problem 71AYU: 71. In problem (a) graph each function (b) determine the domain and the range of the function. (c)... Problem 72AYU: In Problems 63-74, (a) graph each function, (b) determine the domain and the function, and (c)... Problem 73AYU: In Problems 63 74, (a) graph each function, (b) determine the domain and the range of the function,... Problem 74AYU: In Problems 63 74, (a) graph each function, (b) determine the domain and the range of the function,... Problem 75AYU: 75. The graph of the function f(x) = ax2 + bx + c has vertex at (0, 2) and passes through the point... Problem 76AYU: The graph of the function f(x)=a x 2 +bx+c has vertex at ( 1,4 ) and passes through the point (1,8)... Problem 77AYU: In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)... Problem 78AYU: In Problems 77-82, for the given functions f and g,
Graph f and g on the same Cartesian plane.
Solve... Problem 79AYU: In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)... Problem 80AYU: In Problems 77-82, for the given functions f and g,
Graph f and g on the same Cartesian plane.
Solve... Problem 81AYU: In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)... Problem 82AYU: In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)... Problem 83AYU: Answer Problems 83 and 84 using the following: A quadratic function of the form f(x) = ax2 + bx + c... Problem 84AYU: Answer Problems 83 and 84 using the following: A quadratic function of the form f(x) = ax2 + bx + c... Problem 85AYU: 85. Suppose that f(x) = x2 + 4x - 21.
What is the vertex of f?
What are the x-intercepts of the... Problem 86AYU: 86. Suppose that f(x) = x2 + 2x - 8.
(a) What is the vertex of f?
(h) What are the x-intercepts of... Problem 87AYU: Find the point on the line that is closest to the point .
[Hint: Express the distance from the... Problem 88AYU: Find the point on the line y=x+1 that is closes to the point (4,1). Problem 89AYU: 89. Maximizing Revenue Suppose that the manufacturer of
a gas clothes dryer has found that, when the... Problem 90AYU: 90. Maximizing Revenue The John Deere company has found that the revenue, in dollars, from sales of... Problem 91AYU: Minimizing Marginal Cost The marginal cost of a product can be thought of as the cost of producing... Problem 92AYU: 92. Minimizing Marginal Cost (See Problem 91.) The marginal cost C (in dollars) of manufacturing x... Problem 93AYU: Business The monthly revenue R achieved by selling x wristwatches is figured to be R( x )=75x0.2 x 2... Problem 94AYU: Business The daily revenue R achieved by selling x boxes of candy is figured to be R( x )=9.5x0.04 x... Problem 95AYU: Stopping Distance An accepted relationship between stopping distance, d (in feet), and the speed of... Problem 96AYU: Birthrate for Unmarried Women In the United States, the birthrate B for unmarried women (births per... Problem 97AYU: 97. Let f(x) = ax2 + bx + c, where a, b, and c are odd integers. If x is an integer, show that f(x)... Problem 98AYU: Make up a quadratic function that opens down and has only one x-intercept . Compare yours with... Problem 99AYU: 99. On one set of coordinate axes, graph the family of parabolas
f(x) = x2 + 2x + c = -3, c = 0, and... Problem 100AYU: 100. On one set of coordinate axes, graph the family of
parabolas f(x) = x2 + bx + 1 for b = -4, b =... Problem 101AYU: State the circumstances that cause the graph of a quadratic function f( x )=a x 2 +bx+c to have no... Problem 102AYU: 102. Why does the graph of a quadratic function open up if a > 0
and down if a < 0?
Problem 103AYU: Can a quadratic function have a range of ( , ) ? Justify your answer. Problem 104AYU: 104. What are the possibilities for the number of times the graphs of two different quadratic... Problem 105AYU: Determine whether x 2 +4 y 2 =16 is symmetric respect to the x-axis , the y-axis , and/or the... Problem 106AYU: Find the domain of .
Problem 107AYU Problem 108AYU: Write the function whose graph is the graph of y= x , but reflected about the y-axis . format_list_bulleted