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Algebra 1A Chapter 4.4 Graphing functions (b) Name ________________________ Date _________________HR _____ SOLVE EACH FUNCTION for y. 1) 3x + 2y = 9 2) x – 3y = 6 3) 4x – y = 2 4) 3x + y =1 4 y = −2 5 6) 2x − y =3 4 5) x + 7) y + 7 = 6x 8) y – 3x = 12 9) 7 = 3y – 5x 10) 2x + 8 = 5y For each of the functions given, a) Graph each. b) Any equations not solved for y should be changed immediately to y =. c) On the tables provided, i) Calculate the y value that goes with each of the x values. ii) Plot the ordered pairs. iii) Confirm the shape of the graph is what you said it was supposed to be (choices are a line (linear), a V (absolute value), a U (parabola or quadratic) SHAPE WILL BE 11) -3x – y = 6 ________________ 12) y = x2 – 4 ________________ 13) y = |x - 1| ________________ 14) 3x + y = −1 2 _________________ 15) y = 2x2 – 5 _________________ 16) y = |-3x| - 4 _________________ 17) -2x + 3y = -6 _________________ 18) y = (x - 2)2 _________________ 19) y = | x – 3| _________________ 20) 2x – 5y = 10 _________________ 21) y =x2 + 3 _________________ 22) y = |-x| + 1 _________________ Shape of Graph (line (linear), V (absolute value), 11) -3x – y = 6 Solve for y: y = ___________ x y U (parabola): ______________ (x,y) -2 -1 0 1 2 Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ 12) y = x2 - 4 x -2 -1 0 1 2 y (x,y) 13) y = |x – 1| x Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ y (x,y) -1 0 1 2 3 y = −1 2 Solve for y. y = ____________ 14) 3x + x -2 -1 0 1 2 y Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ (x,y) 15) y = 2x2 - 5 Solve for y: y = ___________ Shape of Graph (line (linear), V (absolute value), U (parabola): x y ______________ (x,y) -2 -1 0 1 2 Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ 16) y = |-3x| - 4 x -2 -1 0 1 2 y (x,y) 17) -2x + 3y = -6; Solve for y: x Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ y =___________ y (x,y) -6 -3 0 3 6 18) y = (x – 2)2 Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ Solve for y. y = ____________ x 0 1 2 3 4 y (x,y) 19) y = | x - 3| x Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ y (x,y) 1 2 3 4 5 20) 2x – 5y = 10 Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ Solve for y. y = ____________ x y -10 -5 0 5 10 All points may not fit on graph paper (x,y) 21) y = x2 + 3 x Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ y (x,y) -2 -1 0 1 2 22) y = | -x | + 1 x -2 -1 0 1 2 Shape of Graph (line (linear), V (absolute value), U (parabola): ______________ y (x,y)