Properties and Definitions of Transformations

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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)#?