assignment 2 part 1

question 1

Calculate the distance between the points F = {4, 5) and G =(1, 2) in the coordinate plane. Give an exact answer [not a decimal approximation). n 1-D-J' : 5-. 4 . . _ G Distance.|1] 11 ' I a 4 2 - 2 4 5 a 1: 4, 4-. . _ F 5- _g_ 1-:- Find the midpoint M of the line segment joining the points P = (6, 1) and O = (0, 7). M = (10) OVO X 5Find the Litintercept and yintercept cf the line. 4x+y=3 :r intercept: [I y intercept: [I The equation of a circle is given below. Identify the center and the radius. Then graph the circle. x2+y28x+2y+1 = 0 Center: (D, [D Radius: D The functions f, g, and h are defined as follows. 2+x f (x) = 8x -18 8(x) = h (x) =/1+5x X Find 4 J.8(-2), and h (2). Simplify your answers as much as possible. = OVO X 5 ? 8 (-2) = 0 h (2 ) = 0Complete the following. (a) The graph of y = h(x) is shown. Draw the graph of y = -h (x+3). 6- X 5 ? -6 -4 -2 4 2- 4- -6-\fSuppose that the functions g and h are defined for all real numbers x as follows. g (x) = 6x h (x) =3x+2 Write the expressions for (g . h) (x) and (g-h) (x) and evaluate (g+h) (-2). (g. h) (x) = 1 (8 - h) (x) = 0 X 5 ? ( 8 + h) (-2) = 0Consider the following quadratic function. g (x) =2x- - 20x+47 (a) Write the equation in the form g (x) = a (x-h) + k. Then give the vertex of its graph. Writing in the form specified: g (x) = OVO X 5 ? Vertex:(b) Graph the function. To do this, plot five points on the graph of the function: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button. ... . .. . ...; . B... ... .. 1...1.. .10- ..A...A.... .. . .POOCH...A.. J......... ......H...H.... ... .. ....... ... ......B......... .. ......5 ...5... 26-..... .. ... ... ..... 2. ..... ....5... X 5 ? ..;... .S...... ... ... ..:... ..... .... .. ... .. .-12..;-10. . ..-8.. ...-6....-4..1..-2.. ...- .. ..2...1..4... ....6.....8...;.. 10.. ..12 ..... ..... ... ..... ...... ..A...H.... ..... ..H....... ..5 ... ... ... ...... ...H... ... &....... .. ... ....;... ... .5..... ... ... ...H... ... ...... ..:... .. ... ..:... -10- ... ... ...... .. ... ..... ...:... ..5.. .... ......... ....-12- ...5.. .... .......5.. ..E... .. ......Suppose that the polynomial function f is defined as follows. f(x) = (x+12)(x+ 11) (x-12)-(x-4) List each zero of f according to its multiplicity in the categories below. If there is more than one answer for a multiplicity, separate them with commas. If there is no answer, click on "None." Zero(s) of multiplicity one: 0.0.... None Zero(s) of multiplicity two: X 5 ? Zero(s) of multiplicity three:\f