A student claims that the function ƒ(x) = 6x4 + 4x2 – 3 is an even function. Is the student correct?
2 answers:
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Answer:
Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
Answer : option B
Parent Graph f(x) = is attached below
We analyze each option
A) f(x − 2) --> x - 2 shifts the graph 2 units to the right
B) f(x + 2) --> x + 2 shifts the graph 2 units to the left
C) f(x) − 2 --> f(x) - 2 shifts the graph 2 units down
D) f(x) + 2 --> f(x) + 2 shifts the graph 2 units up
In the graph of f(x)= , the x intercept at x=1
From the graph attached in the question, the x intercept at x=-1
Its means the parent graph is shifted 2 units to the left.
Option B: f(x + 2) --> x + 2 shifts the graph 2 units to the left
