tmua 2017 Q18

tmua · Uk · paper1 1 marks Function Transformations
The graph of $y = \log _ { 10 } x$ is translated in the positive $y$-direction by 2 units. This translation is equivalent to a stretch of factor $k$ parallel to the $x$-axis. What is the value of $k$ ?
A 0.01
B $\log _ { 10 } 2$
C $\quad 0.5$
D 2
E $\quad \log _ { 2 } 10$
F 100
& A
The graph of $y = \log _ { 10 } x$ is translated in the positive $y$-direction by 2 units. This translation is equivalent to a stretch of factor $k$ parallel to the $x$-axis. What is the value of $k$ ?

A 0.01

B $\log _ { 10 } 2$

C $\quad 0.5$

D 2

E $\quad \log _ { 2 } 10$

F 100