F this assignment I need you to answer all questions correctly. Don't forget to show the work for all questions.

1. From the graph below determine the equation of the function.

1. from tne graph BELOW determine line equation OI 'Ee I'Lll'lCElOIl. 2. You have a lOOfoot roll of fencing and a large backyard. You want to construct a rectangular garden area. What are the dimensions of the largest such garden? What is the area of the garden? Use techniques developed in class to solve this problem. 3. Seth's father is thinking of buying his son a six-month movie pass for $30. With the pass, matinees cost $1.50. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benet his father to buy the pass? Write a linear equation that describes the situation and then solve. 4. Factor the following polynomial f(x) = 2 + 6x2 + 9x in order to find the following items. 5. Consider the equation 3y + x = 6 Find the equation of the line perpendicular to the one given and passing thru the point (0, 2). Graph both lines below. (a) Determine the degree of the function and the potential number of extrema. (b) Determine the end behavior of the function. (c) Determine the zeros of the function. -0- 6 -5 -4 -3 -2 -110 2 3 4 5 6 2 d) Use multiplicity to determine the behavior of the function at the x intercepts. (e) sketch the graph below. y A -6- -5- -3- 6 -5 -4 -3 -2-10 0- 2 3 4 5 6 20Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(a) = a(x - h)"+ k ) of the equation of this quadratic function. (h, k) = (0, 4) , (2, y) = (-1, 7) f ( ac) = PreviewSketch a graph of the quadratic equation and give the vertex, axis of symmetry, and intercepts. If there is no intercept, enter "DNE" f(:c) = m2+8:1:+ 13 Clear All Draw: . at Vertex: ( -4 v, -3 v) Axis of symmetry: :1: = -4 c? y-intercept: ( 0 e7, 13 v) m-intercepts (enter your intercepts lowest to highest): _ac , o v), (-8 , 0 c7) 4 + Preview \fGraph on the same set of axes f(:c) = :32, f(m) 2 (cc 3)2, and x) 2 (a: + 4)2. What do you notice? Clear All Draw: . Write the equation for the quadratic function that contains the given point and has the same shape as the given lnetion. Contains (1, 3) and has the same shape as at) = 22:2. Vertex is on the yaxis. you) = m+2m2symaxok A ball is thrown in the air from the top of a building. Its height, in meters above ground as a function of time, in seconds, is given by h(t) = 4.9t2 + 26t + 17. How long does it take to reach maximum height? Round to the nearest hundredth of a second. seconds