Properties and Definitions of Transformations Geometry Transformations Properties and Definitions of Transformations Questions What is a transformation? And what are the four types of transformations? Describe a sequence of transformations that transform the graph of f(x) into the graph of g(x)? #f(x)=sqrtx# and #g(x)=-3(sqrt(x+1))-4# Describe a sequence of transformations that transform the graph of f(x) into the graph of g(x)? #f(x)=x^2# and #g(x)=(x-4)^2+4# What are the different coordinate transformation conjectures? Using the graph of f(x)= 1/x as a starting point, describe the transformations to get to #g(x) = 1/x-4#? Describe the transformations applied to #y=x²# to obtain the graph of #y=-(x+3)²-2#? What are the rules of transformation - specifically, of dilation, rotation, reflection and translation? Using the graph of #f(x)=x^2# as a guide, describe the transformations, and then graph the function #g(x)=-2x^2#? Which type of transformation does not preserve orientation? What is the image of point (3, 5) if the rotation is -180°? How do you graph the line #y = -1/3x - 7#? What transformation transforms (p, q) to (q, p)? Point (w, z) is transformed by the rule (w+5, z) ? What transformation is represented by the rule (x, y)→(x, −y) ? Point (m, n) is transformed by the rule (m−3, n). What type of transformation occurred? Question #16a39 If the following graph is of a function #f(x)#, how will the graph of (i) #f(x+3)#, (ii) #f(x)+3#, (iii) #-f(x)# and (iv) #1-f(x-3)# appear? Deshawn draws a regular pentagon and rotates it about its center. Which angle measures can Deshawn rotate the regular pentagon through to map it onto itself? Identify the transformation that does NOT map the figure onto itself? A)Reflect across the line y = 1 B) Reflect across the line x = 1 C) Rotate 180° about the point (1, 1) D) Rotate 180° about the origin (0, 0) Triangle RST with vertices R(2, 5), S(1, 4), and T(3, 1) is Translated 3 units right. What are the coordinate of S', R' &T'? Image point B'(4,-8) was transformed using the translation (x-2, y+ 3). What were the coordinates of B? The vertices of #triangleEFG# are E(0,2), F(-3,-4), and G(2,-5). If this shape is translated to the right 2 units, and down 3 units what are the new vertices of #triangleE'F'G'#? What are the coordinates of the point (−4, 2)(−4, 2) after a translation 2 units left and 2 units up? Question #0de9f Which single transformation that would have the same result as the two transformations (a) rotation by #180^@# about origin and (b) reflection in #y#-axis? What are the coordinates of the image of point #A(2,-7)# under the translation #(x,y)-> (x-3,y+5)#? Transformations View all chapters Dilations or Scaling around a Point Properties and Definitions of Transformations Rotations Reflections Rigid Transformations Prev Next