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1. F(x)= -1/5x^2 The vertex is: (0,0) The equation of the line of symmetry is (type an equation): x= 0 y x 2. 2. F(x)= 3x^2-18x+8 The vertex is: (3,-19) he equation of the line of symmetry is: x=3 What is the max/min of f(x)? -19 is the value of f(3)=-19 a min or max? Min y 3. 3. Solve the formula for the given letter. Assume all variables represent non-negative numbers. E=mc^2, for c The solution is (or it isn’t given): E m 4. F(x)=-(x+4)^2-6 The vertex is: (-4,-6) the line of symmetry is: x=-4 The min/max value of f(x) is: -6 The value of “f(-4)=-6” is min or max? Max x y x 5. A. Solve for 2x^2= 6 (the solution(s) is/are x= 3, 3 B. Find the x-intercepts of f(x)=2x^2-6 (or tell if there aren’t any) ) ( 3 ,0), ( 3 ,0) 6. The number of tickets sold each day for an upcoming performance of Handel’s Messiah is given by N(x)=-0.5x^2+10x+13, where x is the number of days since the concert was first announced. What will daily ticket sales peak and how many tickets will be sold that day? Tickets will peak __ days after concert was announced. : 10 The number of tickets sold on that day will be: ___ (round to the nearest integer) : 63 7. A. Solve 7x+x(x-4)=0 The solution(s) is/are x=__ (simplify) -3,0 What are the x-intercepts? (ordered pair) (-3,0),(0,0) 8. Determine the nature of the solutions of the equation. Y^2= 4/3 y(not 3y) + 4/7 a. the equation has two non-real solutions b. the equation has two real solutions c. The equation has one real solution 9. X^2-5x+5=0 The exact solutions are x=__ 5 5 5 5 , 2 2 The approximate solutions to 3 decimal places are x=__ 1.382,3.618 10. For the scatterplot, determine which of the following types of fractions might be used as a model for the data. plots are (1,4), (3,5), (5,6), (7,7), (9,8) (graph is a straight line rising up from lower left towards the right) Quadratic, linear, or non-linear or quadratic? linear 11. F(x)=-x^2+8x+6 The vertex is: (4,22) the equation line of symmetry is: x=4 the max/min of f(x) is: 22 the value of f(4) = 22 is max/min?? Max What does the graph look like? y 12. F(x)=-4(x+2)^2 +9 The vertex is: (-2,9) the equation line of symmetry is: x=-2 the max/min of f(x) is: 9 the value of f(-2) = 9 is max/min?? Max What does the graph look like? x y x 13. Solve for x. 5x^2=-26x-5 x=__ (or no solution) Please repost the question 14. (x-10)^2=45 the exact solution(s) is/are x= 10 3 5 ,10 3 5 (exact answer, rationalize all denominators. express complex numbers in terms of i.) The approximate solution(s) are x≈3.292,6.708 (round to nearest thousandth as needed) 15. X^2-2x+1=0 What does this equation have? a. two non-real solutions b. one real solution c. two real solutions 16. M^2 - 1/2m= 7/2 The solutions are 1 57i 1 57i , 4 4 (use radicals as needed, use a comma to separate answers) 17. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c=0. Solution: 5, only solution The equation is x 2 10 x 25 =0 18. The width of a rectangle is 1 ft less than the length. The area is 2ft^2. Find the length and width. length = 2 width = 1 19. F(x)=4x^2 – 16x+17 The vertex is (ordered pair): (2,1) The line of symmetry is (type and equation): x=1 The max/min of f(x) is: 1 What does the graph look like? y x 20. Y^2 – 18y+81=49 The exact solution(s) is/are y=2,16 21. F(x)=2(x-1)^2 The vertex is(ordered pair): (1,0) The equation of the line of symmetry is: x=1 What does the graph look like? y x 22. F(x)=25x^2+30x+9 the y intercept is (ordered pair): (0,9) The x intercept is (ordered pair): 3 ( ,0) 5 23. A student opens a mathematics book to two facing pages. The product of the page numbers is 1806. Find the page numbers. The first page is 42 The second page is 43.
