In this problem, allow T1: RR2rightarrowRR2 and T2: RR2rightarrowR2 be linear transformations. Find Ker(T_1), Ker(T_2), Ker(T_3) of the respective matricesA=[(1,-1),(-2,0)],B=[(1,5),(-2,0)]

Consider the scatterplot of y versus x in Output B.6 above.
a. Which power transformations on y should be considered to straighten the scatterplot?
b. Which power transformations on x should be considered to straighten the scatterplot?

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)=

Your friend attempted to describe the transformations applied to the graph of $y=\sin x$ to give the equation $f(x)=\frac{1}{2}\sin (-\frac{1}{3}(x+30))+1$.
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.

The measure of $\mathrm{\angle }DBE$ is $(0.1x-22{)}^{\circ }$ and the measure of $\mathrm{\angle }CBE$ is $(0.3x-54{)}^{\circ }$. Find the value of x.

Explain how you could graph each function by applying transformations.
(a) $y=\log (x-2)+7$

(b) $y=-3\log x$

(c) $y=\log (-3x)-5$

Given $f(x)=x2$, after performing the following transformations: shift upward 58 units and shift 75 units to the right, the new function $g(x)=$

Which of the following is the correct equation used to solve for the measure of each angle? OA.
${\displaystyle m\mathrm{\angle }A-m\mathrm{\angle }B-m\mathrm{\angle }C={180}^{\circ }}$ O B. ${\displaystyle m\mathrm{\angle }A+m\mathrm{\angle }B-m\mathrm{\angle }C={180}^{\circ }}$ O c. ${\displaystyle m\mathrm{\angle }A-m\mathrm{\angle }B+m\mathrm{\angle }C={180}^{\circ }}$ O D. ${\displaystyle m\mathrm{\angle }A+m\mathrm{\angle }B+m\mathrm{\angle }C={180}^{\circ }}$
The measure of analeAis Click to select your answer(s). Save for Later 0.
(i) 170
(1) 7
(1) 5
(1) 5
(1) 5
(1) 5