Answer:
Step-by-step explanation:
Answer:
The n-th term of this sequence appears to be
3
n
−
1
,
n
≥
1
.
Step-by-step explanation:
These are powers of
3
ordered from
3
0
=
1
to
3
a
(for an integer
a
≥
1
). However, the first convenient value for
n
is
1
, not
0
(imagine saying the 0th term of a sequence). Because of that, since the first term is actually
3
0
, we need to start from the first term (
n
=
1
) being
3
1
−
1
. The next is
3
2
−
1
,
3
3
−
1
...
3
n
−
1
.
Answer: 13/8 or 1 5/8
Step-by-step explanation: 3/4= 6/8+7/8= 13/8= 1 5/8
X = 3
Let's start with the parabola y = x^2. It is obvious that the axis of symmetry is at x = 0.
Subtracting -3 from x before squaring gives y = (x-3)^2. Since any number squared is more than or equal to 0, we know that y=0 is still the lowest possible point on the parabola.
When y = 0, x = 3. From observation we can also see that the lowest point on the parabola is also where the axis of symmetry is. This means that the equation y = (x-3)^2 has axis of symmetry at x = 3.
Multiplying the right hand side by 1/2 compresses the graph vertically. You can see that this doesn't shift the axis of symmetry because you're compressing it along the axis of symmetry.
Adding 5 to the right side just moves the graph up by 5 units. Moving the graph up doesn't affect the axis of symmetry since only moving it left or right will affect it.
This gives you an axis of symmetry of x = 3.
