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SECONDARY
GEOMETRY
HIGH SCHOOL GEOMETRY
PERFORMING TRANSFORMATIONS
Secondary
Calculus and Analysis
Algebra
Geometry
High school geometry
Circles
Congruence
Solid Geometry
Conic sections
Analytic geometry
Transformation properties
Performing transformations
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Performing transformations Answers
Performing transformations
asked 2021-03-18
\(f(x)= (-1)/(3(x+1))+1\)
Domain and range?
Transformations?
Name of Graph?
Performing transformations
asked 2021-03-02
Let T
\(\displaystyle{P}_{{2}}\rightarrow\mathbb{R}^{{3}}\)
be a transformation given by
\(\displaystyle{T}{\left({f{{\left({x}\right)}}}\right)}={\left[\begin{array}{c} {f{{\left({0}\right)}}}\\{f{{\left({1}\right)}}}\\{2}{f{{\left({1}\right)}}}\end{array}\right]}\)
(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.
Performing transformations
asked 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
Performing transformations
asked 2021-02-23
List a sequence of transformations, in words, to convert the graph of
\(f(x)=x^2\)
into the graph of
\(g(x)=-6(x-2)^2+5\)
.
Performing transformations
asked 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?
Performing transformations
asked 2021-02-11
Your friend attempted to describe the transformations applied to the graph of
\(y=sinx\)
to give the equation
\(f(x)=1/2sin(-1/3(x+30))+1\)
.
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.
Performing transformations
asked 2021-02-05
Create a new function in the form
\(y = a(x- h)^2 + k\)
by performing the following transformations on
\(f (x) = x^2\)
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(x) = ?
Edit Coordinates of the vertex for the new parabola are:
x=?
y =?
Performing transformations
asked 2021-02-05
Given f(x)=x2, after performing the following transformations: shift upward 58 units and shift 75 units to the right, the new function g(x)=
Performing transformations
asked 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.
Performing transformations
asked 2021-01-31
Given
\(f(x)=x^2\)
, after performing the following transformations: shift upward 52 units and shift 23 units to the right, write the new function
g(x)=
Performing transformations
asked 2021-01-28
A galaxy contains a parallelogram-shaped dust field. The dust field has a base of 150 miles. The height is 14% of the base. What is the area of the dust field?
Performing transformations
asked 2021-01-23
Sketch the graph of the function
\(f(x) = -2^x+1 +3\)
using transformations. Do not create a table of values and plot points
Performing transformations
asked 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.
\(y=sqrt(x - 2) - 1\)
Performing transformations
asked 2021-01-15
Rectangle $ABCD$ABCD is translated and then reflected to create rectangle $A'B'C'D'$A′B′C′D′ . Do rectangle $ABCD$ABCD and rectangle $A'B'C'D'$A′B′C′D′ have the same area? Justify your answer.
Performing transformations
asked 2021-01-15
Create a new function in the form
\(y = a(x-h)^2 + k\)
by performing the following transformations on
\(f (x) = x^2\)
.
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=?
Performing transformations
asked 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.
Performing transformations
asked 2021-01-08
Graph by labeling three points and determine the type or types of transformations:
\(h(x)=sqrt(x-2)-1\)
Performing transformations
asked 2020-12-24
The measure of \angle DBE is (0.1x - 22)° and the measure of \angle CBE is (0.3x - 54)°. Find the value of x.
Performing transformations
asked 2020-12-12
Explain how you could graph each function by applying transformations.
(a)
\(y = log(x -2) + 7\)
(b)
\(y = -3logx\)
(c)
\(y = log(-3x)-5\)
Performing transformations
asked 2020-11-30
Determine the matrix representation of each of the following composite transformations. A pitch of
\(90^(circ)\)
followed by a yaw of
\(90^(circ)\)
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2
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