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2 answers:
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Answer:
The vertex form for a parabola is given by this expression:
By direct comparison we see that for this case:
And we know from the general expression that the vertex is:
So then the vertex for this case is:
Step-by-step explanation:
For this case we have the following function:
And we need to take in count that the vertex form for a parabola is given by this expression:
By direct comparison we see that for this case:
And we know from the general expression that the vertex is:
So then the vertex for this case is:
Answer:
The average rate of change is
Step-by-step explanation:
The average rate of change from x=a to x=b of f(x) is given by;
We want to find the average rate of change of the function represented in the table from x=-2 to x=2.
From the table f(-2)=25 and f(2)=9
The average rate of change from x=-2 to x=2 is
3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 =
/6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7/6
360-3=330 = 11/6
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 =
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7
360-3=330 = 11