4. Express the quadratic form f(x. x3, xz) = x2 – 2x, x2 + 5x/X3 – x2 + 3x2x3 +3x3? In the form of xTAx. a) A is an upper triangular matrix. b) A is a symmetric matrix.
Graph the function f(x)-x2 +2x -4 by starting with the graph of y x2 and using transformations (shifting, stretching/compressing, and/or reflecting). Use the graphing tool to graph the function. Click to enlarge graph
Determine the quadratic function whose graph is given. 16) +++++++++ ++++++ + Vertex: (-1,9) y-intercept: (0,8) A) f(x) = -x2 - 2x + 8 C)f(x) = -x2 - 2x - 8 B) f(x)=x2 - 4x + 8 D) f(x) = -x2 - 4x + 8
the vertex of the quadratic function f(x)=-2x? - 20x+8 by completing the square and writing in the vertex form f(x) = a(x-h)+k.
This Question: 5 pts Use the quadratic function f(x)- -x +2x-8 to address t a) Use the vertex formula to determine the vertex The vertex is Type an ordered pair. Simplify your answer) b) Does the graph "open up" or "open down"? O Down O Up c) What is the equation of the axis of symmetry? Simplify your answer.)
Consider the figure below. f(x) = 2x – x2 g(x) = x2 - 6x 81x) -10 (a) For the shaded region, find the points of intersection of the curves. (x, y) = ( 0,0 ) (smaller x-value) (x, y) = ( 4,-8 ) (larger x-value) (b) Form the integral that represents the area of the shaded region. dx (c) Find the area of the shaded region.
x2–2x-3 Let f(x) = Find the X-value(s) for which the graph of y = f(x) has a horizontal tangent line. x+2
2 Consider x2 if x <0 f (x) = 2x+ 1 if 0x < 2 (a) Determine whether f is continuous on the interval [0, 1]. (b) Determine whether f is right continuous on the interval [0, 1]. (c) Determine whether f is continuous on the interval [1,2].
8396 5101281 5 8 2 0 1 12 ( 4 2 1 ) ) ) 0000 f-000 0246802 (i) Defining fo-f(zo). Л that the quadratic f(x) and f2 f(x2), where Zo-x1-h and x2-xuth, show 2 , f2 - jo 2h2 2h is the quadratic interpolating function for fo, fı and f2 (i.e. show that p(x)-f) 4] (ii) Use the interpolating polynomial p(x) as defined above, with Zo-12, xỉ-1.4 and 22 -1.6 (and fo, fı and f2 given by the table...
Analyze the key characteristics of the following quadratic function. f(x)=x2-9 Based on the graph, which statement is not true? 0 A. The y-intercept is the same point as the vertex O B. The graph increases in the interval 0 to oo ° C. The graph is always positive. O D. The zeros of this function are at 3 and -3