Chapter. Start Thinking As the string V gets wider, the points on the string move closer to the -ais. This activit mimics a vertical shrink of a parabola... Warm Up.. Sample answer: The graph of f is a translation units right of the parent linear. g() = +.. 7. The graph of g is a translation units up of the parent quadratic f() = ( ). Cumulative Review Warm Up..... Practice A. quadratic; The graph of f is a vertical shrink b a factor of followed b a translation unit down of the graph of the parent quadratic. constant; The graph of f is a translation unit up of the graph of the parent constant. a linear function. h() = +. 9. The graph of f is a translation unit right of the graph of the parent quadratic h() = + The graph of h is a translation units left of the graph of the parent f() = f() = f() = Sample answer: The graph of h is a translation units up of the graph of the parent linear The graph of f is a translation units up of the graph of the parent constant Copright Big Ideas Learning, LLC Algebra A
.. h() = f() =. Sample answer: The graph of f is a vertical stretch b a factor of of the graph of the parent linear. The graph of h is a vertical stretch b a factor of of the graph of the parent absolute value g() = Sample answer: The graph of g is a vertical shrink b a factor of of the parent linear Sample answer: The graph of f is a vertical stretch b a factor of of the graph of the parent linear.. h() =. The graph of h is a vertical stretch b a factor of of the graph of the parent quadratic g() = Sample answer: The graph of g is a vertical shrink b a factor of of the graph of the parent quadratic 7. The graph of f is a vertical shrink b a factor of followed b a translation unit down of the graph of the parent linear f() = h() = The graph of h is a vertical stretch b a factor of followed b a translation units down of the graph of the parent absolute value A Algebra Copright Big Ideas Learning, LLC
.. g() = + g() = The graph of g is a vertical stretch b a factor of followed b a translation units up of the graph of the parent quadratic 9. Sample answer: g() = + The graph of g is a translation units up of the graph of the parent absolute value. Practice B. absolute value; The graph of f is a vertical shrink b a factor of followed b a translation units right of the graph of the parent absolute value. linear; The graph of f is a vertical stretch b a factor of followed b a translation unit up of the graph of the parent linear f() =. 7. The graph of g is a reflection in the -ais of the graph of the parent quadratic f() = ( + ) The graph of f is a translation units left of the graph of the parent quadratic f() = h() = The graph of h is a translation units down of the graph of the parent absolute value. h() = +. f() =. Sample answer: The graph of h is a translation units up of the graph of the parent linear f() = The graph of f is a translation units down of the parent constant f() = Sample answer: The graph of f is a reflection in the -ais of the graph of the parent linear Copright Big Ideas Learning, LLC Algebra A
9.. h() = ( ) + 9. Sample answer: The graph of f is a vertical shrink b a factor of of the graph of the parent linear h() =. The graph of h is a translation units right and 9 units up of the graph of the parent quadratic f() = f() = f() = +.. Sample answer: The graph of h is a vertical stretch b a factor of of the graph of the parent absolute value h() = The graph of h is a vertical stretch b a factor of of the graph of the parent quadratic g() = + The graph of g is a vertical shrink b a factor of followed b a translation units up of the graph of the parent quadratic The graph of f is a reflection in the -ais, followed b a translation units left and units down of the graph of the parent absolute value. absolute value; domain: all real numbers, range:. linear; domain: all real numbers, range: all real numbers 7. quadratic; domain: all real numbers, range:. a. quadratic function b. ; t is the number of seconds after the ball is thrown, so when the ball is thrown t =. c. ft; f ( ) =. Enrichment and Etension. B C A D A B C Sample answer: Trapezoid A BCD a reflection in the -ais, followed b translation unit down and units left of trapezoid ABCD. D A Algebra Copright Big Ideas Learning, LLC
. a. quadratic function b. after 7.7 ears c. domain:, range:,. Sample answer: domain: all real numbers; range: all real numbers; vertical shrink b a factor of ; reflection in -ais; translation units up. Sample answer: domain: all real numbers; range: ; vertical stretch b a factor of ; reflection in -ais; translation units down. Sample answer: domain: all real numbers; range: ; horizontal stretch b a factor of ; reflection in -ais; translation units up and units to the left.. (, ) (, ).. (, ) (, ) (, ) (, ) (, ) (, ). Puzzle Time BECAUSE PEOPLE ALWAYS SAY IF IT IS NOT BROKEN DO NOT FIX IT. Start Thinking. Cumulative Review Warm Up. one. one. zero. one. two. zero = + The equation becomes = + ; The equation becomes = + ; When is added, b definition, the -intercept moves up one unit. The slope is the same, so each point is moved up one unit. When is added, the -intercept moves down one unit, along with ever other point on the line.. Warm Up.. (, ) (, ) (, ) (, ). Practice A. g( ) = +. g( ) =. g( ) = + +. g( ) =. g( ) = 7. g ( ) = + 7. g( ) =. g( ) = + 9. g( ) = +. g ( ) = +. g( ) = 9 +. g ( ) = +. g ( ) =. g( ) = +. Practice B. g( ) = 7. g( ) = +. g( ) =. g( ) = +. g( ) = +. g ( ) = + Copright Big Ideas Learning, LLC Algebra A
7. g( ) = + +. g( ) = + 9. g ( ) =. g ( ) = +. g( ) = 9 +. g( ) = +. g ( ) = +. g( ) = +. Enrichment and Etension. g( ) = ; =. Start Thinking You can model this situation with the equation =.99., where represents the number of units sold and represents the total profit. You are looking for the point that has a -value of,. B substituting, for in the equation and solving for, ou obtain =,., New Product (,,,) g = ; =. ( ) Profit,,. g( ) = ; = g = + ; =. ( ) 9,, 7, Product sold g = ; =. ( ) 7. g( ) = ; = 7. g( ) = ; =, =. g( ) ; = + + no solution, does not intersect -ais 9. g( ) = + ; =. g( ) = + ; =, = g = ; =. ( ) 9. g ( ) = + ; = 7,. Puzzle time JAMES MONROE. Warm Up. D = { } R = {,,}. D = { } R = { }. D = { } R = {,}. Cumulative Review Warm Up... 9.... $,.. Practice A. = ; The sales ta rate is = %.. = + ; An amount of ounce of soap is used each da.. Soap Car Wash; etras. not linear. es; = ; = 7.; This means 7. cars are washed in minutes.. es; A correlation coefficient close to is a strong, negative correlation. A Algebra Copright Big Ideas Learning, LLC
. Practice B. = + ; A child gains about pounds per ear.. = + ; One loaf of bread uses cups of flour.. es; = + ; = ; After das, tickets were sold.. not linear. =. +.7; r =.; The points lie somewhat close to the line.. = + ; r =.; The points lie close to the line.. Enrichment and Etension. =. =. = 7. =. 9. 7.. 9... = ; $,7. = 7 9; $,; $. Puzzle Time ROADTRIP. Start Thinking The point of intersection of the three models would be when all three models create the same profit for the same cost.. Warm Up. =. = + 7. =. = 7 +. =. = 7 9. Cumulative Review Warm Up. es. no. no. es. no. es. Practice A. (,, 7). (,, ). Each term of the second equation should be multiplied b. + z = + + z = + z =. no solution. An ordered triple of the form (,, ) is a solution of the sstem.. Roses cost $ each, carnations cost $ each, and tulips cost $ each. 7. (,, ). ( 7,, ) 9. a. + m + n = 9 m = n = m n =, m =, n = 9 b. es; 9 + =. Practice B. (,, ). (,, ). Each term of the first equation should be multiplied b. + 9 z = + z = + =. no solution. An ordered triple of the form (, +, + ) is a solution.. (,, ) 7. no solution. no; The solution of the sstem is. nickels,. dimes, and. quarters. You cannot have part of a coin. 9. a. (, 7) b. es; There is one solution, so the lines intersect at a point. Copright Big Ideas Learning, LLC Algebra A7
. Enrichment and Etension. (,,, ). (,,, ). (,,, ). Puzzle Time THE TALLEST LIVING HORSE WHO MEASURED SIX FEET TEN INCHES Cumulative Review. solution. solution. not a solution. solution. not a solution. solution 7. not a solution. solution 9. not a solution. solution. solution. solution.. t. a. m b.. gal c. gal. z =. c = 7. =. h = 9. p = 9. b = 9. r =. s = 7. f = and f =. k = and k =. g = 9 and g =. v = and v = 7. w = and w = 9. d = and d = 9. = +. = 9. =. = +. = +. =. a.. +.m b. $.7 c. $7. d. $.7. a..p b. $. c. $7. d. 9. lbs, or about 9 lbs. min. gigabtes. Distributive Propert 7. Additive Inverse Propert. Commutative Propert of Multiplication 9. Associative Propert of Multiplication. Commutative Propert of Addition. Associative Propert of Addition. Additive Identit Propert. Multiplicative Identit Propert.. f() f(). f() 7. f(). = +. = + 7.. 7 7 = or = 9.. +. A Algebra Copright Big Ideas Learning, LLC
. ( 7, ) 9. (, 9 ). (, 7). no solution. (, 7). no solution. no solution. ( 7, ). infinitel man solutions 7. (, 7 ). infinitel man solutions 9. (, 9) 7. 9a + a + 7. b b + 9 7. c + 9c + 7. 9d d + 7. m m + 7. n + n + 7. 77. q q + 7. -intercept:, -intercept: 79. -intercept:, -intercept:. -intercept: 7, -intercept: 7. -intercept:, -intercept:. -intercept:, -intercept:. -intercept: 9, -intercept: p p +. = +. =. = + 7. =. = 9. = 9. = 9. = 7 + 9. g( ) = + 9. g( ) = + 9. g( ) = + 9. g( ) = + 9. infinitel man solutions 97. (,, 7 ) 9. infinitel man solutions 99. no solution. (,, ). (,, 7). in. b in.. a. You need 7. pounds of peanuts,. pounds of raisins,. pounds of pretzels, and pounds of chocolate cand pieces. b. Recipe B c. lbs. our friend; $. Chapter. Start Thinking Sample answer: f ( ) = f( ) f( ) = ( ) f( ) 9 f ( ) = f f( ) ( ) = + f( ) = + = The function f( ) = ( ) is a horizontal translation unit right ( h = ). The function f ( ) = = ( ) = is a vertical stretch b a factor of ( a = ). The function f( ) = + is a vertical translation unit up ( k = ). Copright Big Ideas Learning, LLC Algebra A9