Topics 53-63

Question 1

In graph transformations: how would the graph move after y=f(x-a)

Answer 1

Move positive (right) by a positions
(Everything is happening a slots later)

Question 2

In graph transformations: how would the graph move after y=f(x+a)

Answer 2

Move negative a (left) because everything is happening a slots earlier

Question 3

In graph transformations: how would the graph move after y=f(x)+a

Answer 3

Up by a slots

Question 4

In graph transformations: how would the graph move after y=f(x)-a

Answer 4

Down by a slots

Question 5

In graph transformations: how would the graph move after y= af(x)

Answer 5

Stretch along the y axis with scale factor a

Question 6

In graph transformations: how would the graph move after y=f(ax)

Answer 6

Stretch along the x axis with scale factor: 1/a

Question 7

In graph transformations: how would the graph move after y= -f(x)

Answer 7

Reflection in x axis

Question 8

In graph transformations: how would the graph move after y=f(-x)

Answer 8

Reflection in the y axis

Question 9

how do you simplify surds

eg. square root of 48

Answer 9

find a square factor and simplify

root(16 x 3) = root(16) x root(3) = 4(root(3))

Question 10

how do you add or subtract surds

Answer 10

like algebra - you can only add like surds

eg 7root3 - 4root3

Question 11

how do you multiply surds

Answer 11

multiply the numbers under the square root

eg root3 x root5 = root15

Question 12

How to find the magnitude of a vector

Answer 12

The square root of: the sum of: the square of each individual component

Eg. The magnitude of (4 over 5)

Root(4squared + 5squared)
Root(16 + 25)
Magnitude = root41