3. Express f(x) = x2 + 4x +3 in standard form and find its maximum or...
A quadratic function f is given. flx) = -x2. 4x 3 (a) Express f in transformation form. f(x) (b) Find the vertex and x and y-intercepts of f. (If an answer does not exist, enter DNE.) (x, y) vertex (x, y) (smaller x-value) x-intercepts (x, y) (larger x-value) (x, y) yintercept (c) Sketch a graph of f. Tools Actions Clear Al 1. Select an object from the Tools menu to the left. Delato 2. Enter coordinates in Object Properties below,...
A quadratic function fis given. F(x) = 1 - 4x - x² (a) Express fin standard form. f(x) - 1 - x(x +4) X (b) Sketch a graph of f. у
(2) Express the quadratic form Q=x; -x} - 4x,x2 + 4xzxz in terms of diagonal quadtratic form.Use X(X1, X2, X3)=PY(y1,92,93) 121 Tannster.T.D-D alhym2) - (2. Ihim
17) Given the quadratic function g(x)= -x2 - 4x + 4 a) Express the quadratic function in standard forn b) Find its vertex.
Find the most general antiderivative of f(x) = (3 – 4x) -3 – (1 + x2)-1
(9) Find the equation of any vertical asymptote: (a) f(x) x2 + 5x x2 + 4x (b) f(x) X-5 x2 – 25 (10) Write a brief description of the relationship between the graph of f(x) = x2 and g(x) = - (x-4)2 +3
5. For the quadratic function f(x) = x2 – - ***2 – 4x + 1: a) write it in the form f(x) = a(x – h)2 + k b) identify the coordinates of the vertex c) state whether there is a maximum or minimum and identify where it occurs
it S(z) = (x2 + 4x + 3)'. then f'(x) = 4(72 + 4x + 3) (2. +3) ° ( 22 + 4) f'(2) - question Heln
Find the power series representation for 2x-4 x2-4x + 3 What is its interval and radius of convergence? Find the Maclaurin series for f(x) (1 z)2 What is its radius of convergence? Find the Taylor Series for f(x) AC Centred at a =-3. What is its radius of convergence? Find the power series representation for 2x-4 x2-4x + 3 What is its interval and radius of convergence? Find the Maclaurin series for f(x) (1 z)2 What is its radius of...
c) Using Matlab function "fmincon", find the maximum and minimum of the function f(x, y) 4x + 3y g(x,y) x2 +y2 100