Find the Vertex, the Line of Symmetry, the Maximum Or Minimum Value of the Quadratic Function
Give exact and approximate solutions to three decimal places. (x-9)^(2)=9 What are the exact solutions? x = ______ (Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.) There are no approximate solutions since the solutions are integers.
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=2x^(2)-8x+20 What is the vertex? ______(Type an ordered pair.) What is the equation of the line of symmetry? ______(Type an equation.) What is the maximum/minimum of f(x)? ______ Is the value, f(2)=12 a minimum or a maximum? ______ Create a graph that represents f(x).
Find the x-intercepts and y-intercepts for f(x). f(x)=x^(2)-5x+5 The x-intercept(s) is(are) ______ The x-intercept(s) is(are) ______ or There are no intercepts ______
Give exact and approximate solutions to three decimal places. x^(2)-5x+5=0 The exact solutions are x= ______(Use radicals as needed. Use a comma to separate answers.) The approximate solutions to 3 decimal places are x= ______(Use a comma to separate answers.)
Graph the function. Find the vertex, line of symmetry, and maximum or minimum value. f(x)=(x+5)^(2)-4 The vertex is ______(Type an ordered pair.) The minimum value is f(x)= ______ Create a graph.
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=3x^(2)-6x+6 The vertex is ______(Type an ordered pair.) The line of symmetry is ______(Type an equation.) The maximum/minimum if f(x) is ______ Is the value, f(1)=3 a minimum or maximum? ______ Create a graph.
For the scatterplot, determine which of the following types of functions might be used as a model for the data. 1,2 3,3 5,4 7,4 9,5 Choose the best answer. A. not linear or quadratic B. quadratic C. linear
A student opens a mathematics book to two facing pages. The product of the page numbers is 702. Find the page numbers. The first page is _____ The second page is _____
Find and label the vertex and the line of symmetry. Graph the function. f(x)=-3(x+1)^(2) The vertex is _____ (Type an ordered pair.) The equation of the line of symmetry is _____ (Type an equation.) Create a graph.
Write a quadratic equation having the given numbers as solutions. -10 and -5 The quadratic equation is ______=0 (Type your answer in standard form. Type an expression using x as a variable.)
The number of tickets sold each day for an upcoming performance of Handel’s Messiah is given by N(x)=-0.4^(2)+10x+11, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day? Ticket sales will peak _____ days after the concert was first announced. The number of tickets sold on that day will be _____. (Round to the nearest integer.)
Solve the formula for the given variable. Assume all variables represent nonnegative numbers. A=3s^(2), for s What is the correct value for s?
Solve for x. 3x^(2)=-7x-2 Elect the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x=______(Type an integer or a simplified fraction. Use a comma to separate answers as needed. B. There is no solution.
Determine the nature of the solutions of the equation. y^(2)=(5)/(3)y+(2)/(5) Choose the correct answer below. A. The equation has two non-real solutions. B. The equation has two real solutions. C. The equation has one real solution.
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=x^(2)=x^(2)-12x-5 What is the vertex? ______(Type an ordered pair.) What is the equation of the line of symmetry? ______(Type an equation.) What is the maximum/minimum of f(x)? ______ Is the value, f(6)=-41 a minimum or a maximum? ______ Create a graph that represents f(x).
A. Solve 4x^(2)=8 What are the solutions? X=______(Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.) B. Find the x-intercepts of f(x)=4x^(2)-8 What are the x-intercepts? ______(Type an ordered pair. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate answers as needed.)
Solve by completing the square. x^(2)+2x-3=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x=______(Use a comma to separate answers as needed.) B. There is no solution.
A. Solve 3x^(2)-5x-11=0 What are the solutions? x=______(Type exact answers, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed. B. Find the x-intercepts of f(x)=3x^(2)-5x-11 What are the x-intercepts? ______(Type ordered pairs. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
Find and label the vertex and the line of symmetry. Graph the function. f(x)=-(1)/(3)x^(2) The vertex is ______(Type an ordered pair.) The equation of the line of symmetry is ______(Type an equation.) Graph the equation.
The width of a rectangle is 4 ft less than the length. The area is 12 ft^(2). Find the length and the width. The width is _____ ft. The length is _____ ft.
Find the vertex, the line of symmetry, the maximum or minimum value of f(x), and graph the function. f(x)=-(x+7)^(2)-5 The vertex is ______(Type an ordered pair.) The line of symmetry is ______(Type an equation.) The maximum/minimum if f(x) is ______ Is the value, f(-7)=-5 a minimum or maximum? ______ Create a graph.
Give exact and approximate solutions to three decimal places. y^(2)-8y+16=25 What are the exact solutions? y=______(Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.) There are no approximate solutions since the solutions are integers.
Determine the nature of the solutions of the equation. x^(2)-10x+25=0 Multiple choice: What does the equation have? A. one real solution B. two non-real solutions C. two real solutions
