Transformations
Describe the transformation.
g(x) = x2 - 2
A. Down 2
B. Up 2
C.Right 2
D.Left 2
A. Down 2
Find the common difference of the arithmetic sequence.
-4,-1,2,5,...
+3
Describe the transformation. g(x) = (x+2)2 + 2
Left 2 down 1
Write the next three terms of the arithmetic sequence.
First term: 8
Common difference: 5
13, 18, 23
Describe the transformation of the graph of the parent quadratic function.
f(x) = 1/3(x - 2)2 + 1
Vertical shrink by factor of 1/3
Right 2
Up 1
Determine whether the sequence is arithmetic. If so, find the common difference.
67, 52, 37, 22, ...
Common difference: -15
Write a rule for g described by the transformation of the graph of f.
f(x) = x2 ; vertical stretch by a factor of 3 and a reflection in the x-axis, followed by a translation 3 units down.
g (x) = -3x2 - 3
Write an equation for the nth term of the arithmetic sequence.
-9, -1, 7, 15, ...
an = 8n-17
Write the rule for g described by the transformations of the graph of f.
f(x) = x2 ; vertical shrink by a factor of 1/2 and a reflection in the x-axis, followed by a translation 6 units left.
g (x) = -1/2 (x+6)2
Write the equation for the nth term of the arithmetic sequence. The find a10.
-7/3,-5/3,-1,-1/3,...
an = 2n/3 - 3
a10 = 11/3