Jane threw a basketball up in the air. the following table represents the height f(t), in meters, of the ball above the ground at time t seconds: time (t) (in seconds) height f(t) (in meters) 2 10 4 15 6 10 8 0 which of the following is represented by the x-intercept of f(t)? the ball reaches the maximum height in 4 seconds. the ball reaches a maximum height of 15 meters. the ball was thrown from a height of 10 meters. the ball touches the ground after 8 seconds. question 47(multiple choice worth 1 points) (09.01 mc) the graph of f(x) = x2 is shifted 3 units to the right to obtain the graph of g(x). which of the following equations best describes g(x)? g(x) = (x + 3)2 g(x) = x2 − 3 g(x) = x2 + 3 g(x) = (x − 3)2 question 48(multiple choice worth 1 points) (06.02 mc) two groups of students were asked how far they lived from their school. the table below shows the distances in miles: group a (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2 group b (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8 which statement best compares the mean distances for the two groups? it is equal for group a and group b. it is greater for group b than group a. its value for group a is double the value for group b. its value for group b is double the value for group a. question 49(multiple choice worth 1 points) (07.07 mc) choose the correct product of (5x − 11)2. 25x2 − 110x + 121 25x2 − 121 25x2 + 121 25x2 + 110x + 121 question 50(multiple choice worth 1 points) (06.06 mc) a company pays its employees a fixed base salary and a commission based on sales. the scatter plot below shows the total earning of an employee of the company (y) based on sales (x): plot the ordered pairs 0, 10 and 100, 20 and 200, 30 and 300, 40 and 400, 50 and 500, 60 which function best represents the data in the scatter plot? y = 0.1x + 10 y = 0.1x − 10 y = 0.1x + 1 y = 0.2x − 1 question 51(multiple choice worth 1 points) (07.01) choose the polynomial that is written in standard form. −3x5y2 + 4x3y + 10x2 −8xy2 + 4x4y2 + 3x3 x4y2 + 4x3y5 + 10x4 x6y2 + 4x3y8 + 10x7 question 52(multiple choice worth 1 points) (08.07 mc) which of the following is the graph of f(x) = x2 − 4x − 5? graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5 graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5 graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4 graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4 question 53(multiple choice worth 1 points) (07.06 mc) choose the correct simplification of the expression (2x − 6)(3x2 − 3x − 6). 6x3 − 24x2 + 6x + 36 6x3 − 24x2 + 6x − 36 6x3 + 24x2 − 6x + 36 6x3 − 24x2 + 6x + 12 question 54 (fill-in-the-blank worth 1 points) (09.01 mc) the following graph describes function 1, and the equation below it describes function 2: function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 function 2 f(x) = −x2 + 4x + 1 function has the larger maximum. (put 1 or 2 in the blank space) numerical answers expected! answer for blank 1: question 55(multiple choice worth 1 points) (07.09) the length of a rectangle is represented by the function l(x) = 6x. the width of that same rectangle is represented by the function w(x) = 4x2 − 3x + 8. which of the following shows the area of the rectangle in terms of x? (l ⋅ w)(x) = 24x3 − 18x2 + 48x (l ⋅ w)(x) = 24x3 − 3x + 8 (l + w)(x) = 4x2 + 3x + 8 (l + w)(x) = 4x2 − 9x + 8 question 56(multiple choice worth 1 points) (08.01 mc) identify the gcf of 9a4b4 − 27a3b3 + 18a3b2. 9a3b3 9a3b2 3a2b3 3a3b2 question 57(multiple choice worth 1 points) (09.05 mc) david wants to hang a mirror in his room. the mirror and frame must have an area of 8 square feet. the mirror is 2 feet wide and 3 feet long. which quadratic equation can be used to determine the thickness of the frame, x? square with an inner frame with height of 2ft on the left frame and width of 3ft on the top. arrow on the bottom frame with an x and an arrow on the right frame with an x. 2x2 + 14x − 2 = 0 3x2 + 10x − 8 = 0 4x2 + 10x − 2 = 0 x2 + 7x − 8 = 0 you must check the box below prior to submitting your exam! check this box to indicate you are ready to submit your exam explorer toolbox workload my folders fdk411.03