What is the axis of symmetry for the graph of y =2x^2-8x+2? x=
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Answer:
B.
- as x increases, f(x) decreases;
- as x decreases,f(x) decreases
Step-by-step explanation:
The function is of even degree with a negative leading coefficient. f(x) will tend toward negative infinity as x gets larger or smaller. That is ...
- as x increases, f(x) decreases;
- as x decreases,f(x) decreases
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<em>Even degree</em> means the end behaviors are the same for both large and small x. <em>Negative leading coefficient</em> means the function value decreases for larger x.
By the binomial theorem,
Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.