Graph transformations GCSE maths. Please helpppp. Thanks
1 answer:
<h3>Answer: Rotate 180 degrees around point B</h3>
Explanation:
Point A(-3,1) moves to A ' (1,1). The line through these two points is y = 1.
Point C(-3,3) moves to C ' (1, -1). The line through these two points is y = -x
These two lines intersect at point B(-1,1) which is the invariant point, aka fixed point. It is the center of rotation.
Notice how points A, B and A' are collinear (i.e. they are on the same line). The same can be said about points C, B and C'.
Because of these two sets of collinear points, it means we have a 180 degree rotation going on.
Check out the diagram below.
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Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
The table is:
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
b) From the table above we can see that Anna makes more stuffing than Jason.
c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:
We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.
The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)
For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100
D) The line pass through (10, 10) and (100, 40), hence:
