show work please Quir 8(10 points) standard form of quadratic function: f(x)-ax+bx + c Factored fom:...
algebra 2 Solving the quadratic equation using the quadratic formula ax²+bx+c 01 x= -htb² - 4ac Ex3 - 2x² +3 x =4-15 X X - 2x²-x =-15 +15 +15 - 2x2-x+15= 0 A = -2 D- C= 15
4 of 6 9.2b Solve quadratic equations of the form x + bx + c = 0 by completing the square Find the solution to the quadratic equation by completing the square: x²- 2x - 6 = 3 0-1, -3 -1,3 1,-3 1,3
(1 point) Find a polynomial of the form f(x) = ax’ + bx² +cx +d such that f(0) = -3, f(-2) = 5, f(-3) = 2, and f(4) = 5. Answer: f(x) =
6. Write the quadratic function f(x-ar' + br + c , a * 0 İn vertex form f(x) = a(x-h)' + k using e fo rmulas for h and k in terms of the procedure of completing the perfect square and provid parameters a, b, and c. Solve the equ formula. Factor the quadratic expression ax+br+c in terms of the solutions x, and x, of the quadratic equation. Write equations expressing the relationships between parameter a, b and c and...
The graph of a function of the form f(x)=ax^2 + bx + c for different values of a, b, and c is given. For the function, find the following. (a) Determine if the discriminant is positive, negative, or zero. (b) Determine if there are 0, 1, or 2 real solutions to f(x)=0. (c) Solve the equation f(x)=0.
A quadratic equation is generally represented as, ax^2 + bx + c The root(s) of the above quadratic equation is computed using the following formula, root1 = (-b + sqrt(D))/ 2a root2 = (-b - sqrt(D))/2a Where D is the discriminant of the quadratic equation and is computed as, D = b^2 - 4ac Given the value of D, the roots of a quadratic equation can be categorized as follows, D > 0 : Two distinct real roots D =...
Java Programming Question 4 (10 points): Solutions for a quadratic equation ax(squared)+bx+c= 0. where a does not equal zero are as follows. r1=( −b+√b(squared)−4ac)/2a r2=(−b−√b(squared)−4ac)/2a if b(squared)−4ac <0, equation doesn’t have real roots. If it is 0 there is one root(r1=r2). Write a Java program to read a,b and c from keyboard and find the roots, if they exist. Note: You need to have a method that takes 3 real values as arguments
please show all work. Thanks in advance :) To determine the 5 key points, you want to determine the x-coordinates of each quarter period. For exam sin(Bx + C), you want to set Bx + C equal to ple, to graph a function in the form y 0巨,T,T, and 2π to determine the new x-coordinates that you will use in your graphs. ch a detailed graph for each of the following functions. Graph at least one full period, indicating the...
65 68 and for 71 please show steps. thank you ans: 1 X+ yX 32 rudbyr 55) Determine a,b,c,d. (7x^8) (y^-6) (z6)] / [(2x^6) (y^-7) (z^-4)3 = a + x^5 + Y^* 32 rudbyr 8) Given two equations, #1 and 12. IS each one true x^2 + 2x + 3 and 2. Is each one true (1) or false (0)? #1) ----- -- - x + 2 + -- ; 2) ---- 1 y + y 2 32 rudbyr ....
Theorem. Consider the quadratic form Q(x) = Ar where A is anxn symmetric matrix and A, and denote the largest and smallest eigenvalues of A, respectively. Then max Q(x) = 2 = max Q() = 1 and Q0.) = 1, where is any unit eige vector corre sponding to ii) in (r) and QU.) where is any unit eigen vector corresponding to do 1. - Find max Q(x) and min Q(x). 1) Q(1) = 3x + 43273 +673 ii) Q(z)...