 # Transformation geometry questions and answers

Recent questions in Performing transformations ASHLYN OWENS 2022-05-24

2022-03-20

###  Trent Carpenter 2021-03-18

### $f\left(x\right)=\frac{-1}{3\left(x+1\right)}+1$ Domain and range? Transformations? Name of Graph? Maiclubk 2021-03-02

### Let T ${P}_{2}\to {\mathbb{R}}^{3}$ be a transformation given by $T\left(f\left(x\right)\right)=\left[\begin{array}{c}f\left(0\right)\\ f\left(1\right)\\ 2f\left(1\right)\end{array}\right]$ (a)Then show that T is a linear transformation. (b)Find and describe the kernel(null space) of T i.e Ker(T) and range of T. (c)Show that T is one-to-one. ringearV 2021-02-27

### Functions f and g are graphed in the same rectangular coordinate system (see attached herewith). If g is obtained from f through a sequence of transformations, find an equation for g  Emeli Hagan 2021-02-23

### List a sequence of transformations, in words, to convert the graph of $f\left(x\right)={x}^{2}$ into the graph of $g\left(x\right)=-6\left(x-2{\right)}^{2}+5$. Harlen Pritchard 2021-02-21

### Answer the questions and complete the following problems about transformations. 1. In a rotation of a set of points, what geometric structure defines the motion of points? CMIIh 2021-02-11

### Your friend attempted to describe the transformations applied to the graph of $y=\mathrm{sin}x$ to give the equation $f\left(x\right)=\frac{1}{2}\mathrm{sin}\left(-\frac{1}{3}\left(x+30\right)\right)+1$. They think the following transformations have been applied. Which transformations have been identified correctly, and which have not? Justify your answer. a) f(x) has been reflected vertically. b) f(x) has been stretched vertically by a factor of 2. c) f(x) has been stretched horizontally by a factor of 3. d) f(x) has a phase shift left 30 degrees. e) f(x) has been translated up 1 unit. Albarellak 2021-02-05

### Given $f\left(x\right)=x2$, after performing the following transformations: shift upward 58 units and shift 75 units to the right, the new function $g\left(x\right)=$ Chesley 2021-02-05

### Create a new function in the form $y=a\left(x-h{\right)}^{2}+k$ by performing the following transformations on $f\left(x\right)={x}^{2}$ Give the coordinates of the vertex for the new parabola. h(x) is f (x) shifted right 3 units, stretched by a factor of 9, and shifted up by 7 units. $h\left(x\right)=?$ Edit Coordinates of the vertex for the new parabola are: $x=?$ $y=?$ banganX 2021-02-03

### Lily wants to define a transformation (or series of transformations) using only rotations, reflections or translations that takes Figure A to Figure B. Which statement about the transformation that Lily wants to define is true? A. It can be defined with two reflections. B.It can be defined with one rotation and one translation. C. It cannot be defined because Figure A and Figure B are not congruent. D.It cannot be defined because the longest side of Figure B is on the bottom. Kyran Hudson 2021-01-31

### Given $f\left(x\right)={x}^{2}$, after performing the following transformations: shift upward 52 units and shift 23 units to the right, write the new function g(x)= Mylo O'Moore 2021-01-23

### Sketch the graph of the function $f\left(x\right)=-{2}^{x}+1+3$ using transformations. Do not create a table of values and plot points Yulia 2021-01-19

### Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations. $y=\sqrt{x-2}-1$ Lipossig 2021-01-15

### Rectangle $ABCD$ABCD​ is translated and then reflected to create rectangle $ABCD$A′B′C′D′​ . Do rectangle $ABCD$ABCD​ and rectangle $ABCD$A′B′C′D′​ have the same area? Justify your answer. Line 2021-01-15

### Create a new function in the form $y=a\left(x-h{\right)}^{2}+k$ by performing the following transformations on $f\left(x\right)={x}^{2}$. Give the coordinates of the vertex for the new parabola. g(x) is f (x) shifted right 7 units, stretched by a factor of 9, and then shifted down by 3 units. g(x) = ? Coordinates of the vertex for the new parabola are: x=? y=? zi2lalZ 2021-01-10

### Area and Perimeter Formulas with Examples Area: — Total space enclosed by the boundary of a plane. Perimeter: — Length of the border around any enclosed plane. preprekomW 2021-01-08

### Graph by labeling three points and determine the type or types of transformations: $h\left(x\right)=\sqrt{x-2}-1$ Clifland 2020-12-24

### The measure of $\mathrm{\angle }DBE$ is $\left(0.1x-22{\right)}^{\circ }$ and the measure of $\mathrm{\angle }CBE$ is $\left(0.3x-54{\right)}^{\circ }$. Find the value of x. Lewis Harvey 2020-12-12

### Explain how you could graph each function by applying transformations. (a) $y=\mathrm{log}\left(x-2\right)+7$ (b) $y=-3\mathrm{log}x$ (c) $y=\mathrm{log}\left(-3x\right)-5$

If you still remember high school geometry, you might know the woes of solving transformation geometry problems like the famous transformation geometry equations that seem impossible to solve no matter what answers you would come up with. Thankfully, these days you can look up various transformation geometry examples and help yourself come up with the solutions to the questions that you have. To understand how it works, think about flipping through pictures online frame after frame, the symmetry of a musical instrument, shoes, an airplane, and many other things that we all use daily.