Co-ordinate Geometry, Graphs And Circles

Question 1

What does the transformation mean?

y=KF(x)

Answer 1

strech by scale factor K in Y direction

Question 2

What does the transformation mean?

y=F(Kx)

Answer 2

strech by scale factor 1/K in X direction

Question 3

What does the transformation mean?

y=-F(x)

Answer 3

Reflection in X axis

Question 4

What does the transformation mean?

y=F(-x)

Answer 4

Reflection in Y axis

Question 5

How is |AB| pronounced and what does it mean?

Answer 5

Modulus AB
Distance between A and B
Absolute value of AB

Question 6

How do you know if the gradients of two lines are perpendicular?

Answer 6

Gradients multiply to -1

Question 7

How many solutions does the same line have with itself?

Answer 7

infinite

Question 8

Where are the asymptotes of a reciprocal graph found?

Answer 8

Vertical to roots

Question 9

What is a kite?

Answer 9

Quadrilateral with two sets of equal length sides that are adjacent

Question 10

What is the difference between a paralellogram and a rhombus?

Answer 10

both have two sets of parallel sides but a rhombus has all sides of equal length

Question 11

State the new co-ordinates
(6,3)
(2,0)
3f(x)

Answer 11

(6,9)

2,0

Question 12

State the new co-ordinates
(3,0)
(9,2)
f(0.5x)

Answer 12

(6,0)

18,2

Question 13

What does the transformation mean?

y=f(x-a)+b

Answer 13

translation by vector

ai+bj