• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3

# Investigation Transformations.

Extracts from this document...

Introduction

Investigation Transformations. Part B: Investigation # 1 These transformations were of sin graphs. When the a value in y = a sin k (x-b) + d is positive the transformation is vertical and the graphs are stretched or compressed by a factor of a. When a is negative the transformation is inverted or reflected and stretched or compressed vertically by a as seen in y = -3sin(x). The period of all these graphs remains the same and all graphs intersect the origin and intersect the x axis at the same points. The maximums of these graphs are the numbers are the positive of the a values. So in y = 2sin(x), the maximum is 2. ...read more.

Middle

From these graphs we can determine that the value of k determines the number of cycles in the period of the graph. As seen in the following graph the k value was increased to 3 and it is shown that the more than one cycles appears in the period. Investigation # 3 These transformations were of tan graphs and the b values were changed. From the graphs we can determine that when b is than 0 the graph is horizontally shifted b units to the left. When b is less than 0 the graph is horizontally shifted b units to the right. The b value is called the phase shift because it causes horizontal translations. ...read more.

Conclusion

If the k is changed in the graph the graph is compressed or stretched horizontally. If k is greater than 1 the graph is compressed by a factor of 1/k, if k is less than 1 but greater than 0 then the graph is stretched by a factor of 1/k. When the b value is changed the graph is shifted horizontally left and right. So when b is greater than 0 the graph shifts b units to the left and if b is less than 0 the graph is shifted b units to the right. Finally if the d value is changed the graph is shifted vertically up and down. If d is greater than 0 the graph shifts d units up and if d is less than 0 the graph is shift d units down. ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our International Baccalaureate Maths section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related International Baccalaureate Maths essays

1. ## parabola investigation

However it doesn't seem to work for a= -1 as 1/a is equal to -1 in this case but D is equal to 1. So, I will test this conjecture with another reel value of "a". * As I have to test my conjecture for any placement of vertex, I

2. ## Math Investigation - Properties of Quartics

Therefore, using the sides of these similar triangles would be shorter way than to find out the distances between them and then finding out the ratio. The Catheti, which is the differences between the X and Y coordinates of the intersection points.

1. ## Bionomial Investigation

I am now going to prove that this formula really work as true formula. Having prove this formula, will be able to get the subsequent number for a certain row For the right hand side, we can expand it further by substituting the value of r as n-r = = At this point, we are able to see that: (Proved)

2. ## Matrices and Vectors Summary

If these matrices are multiplied, the original system of equations is obtained. In other words, multiplying the first two matrices together would yield 3x+4y-z=8 for the top row, and so on. The leftmost matrix is called the coefficient matrix, the middle matrix is called the variable matrix, and the rightmost matrix is called the solution matrix.

1. ## Parabola Investigation

y= (x-4)2+2 = x2-8x+18 y= 2x2-8x+9 y= 4x2-20x+26 To summarize, the results are listed in the chart below: Formula x1 x2 x3 x4 D y= x2-8x+18 2.354 3 6 7.646 1 y= 2x2-8x+9 1.177 1.5 3 3.823 0.5 y= 4x2-20x+26 1.719 2 3.25 3.781 0.25 Conjecture: The relationship of D and a looks like it should be: D=|-1/a| 3.

2. ## Function Transformation Investigation

Graph of and incidentally also the one of it is also the graph of. Previously we compared what happened when adding or subtracting to the input. We can also investigate what happens when the output is added or subtracted to.

1. ## Investigating transformations of quadratic graphs

When |k| units are subtracted from y, the graph shifts downwards by k units. The phenomenon of the graph shifting upwards or downwards is called vertical translation. 2. Consider the graphs of: a. y = x2 b. y = (x ? 2)2 c.

2. ## Parallels and Parallelograms Maths Investigation.

Type in L1, L2: (2, 1) (3, 3) (4, 6) ...etc. Screen Capture from TI-84 Paralleograms: 1, 3, 6, 10, 15, 21, etc. 3-1 6-3 10-6 15-15 21-15 2 3 4 5 6 1 1 1 1 Number of Horizontal Lines Number of Transversals Number of Parallelograms formed First difference

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to
improve your own work