The graph of y=sin is stretched vertically by a factor of 3 , compressed horizontally by a factor of 6 (angular frequency of 6),
2 answers:
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Answer: -5/12
Step-by-step explanation: Before multiplying two fractions together by multiplying across their numerators and multiplying across their denominators, you should always try to cross-cancel as your first step.
So in this problem, the 2 and 8 cross-cancel to 1 and 4.
Also, watch out for your signs. In this problem we have a negative times a positive so we know that our answer will be negative.
Now we can multiply across the numerators and across the denominators.
So we have 5 · 1 which is 5 and 4 · 3 which is 12.
So our answer is -5/12.
Be very careful with your signs!
The given parabola is . Compare with the standard equation of a parabola in vertex form,
.
The vertex of this parabola is . Compare
with the standard equation
.
we see . Thus, the vertex of the given parabola is
.