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Week 8

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Last updated 29 days ago
10 questions
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Question 1
1.

The best estimate of the rotation angle θ is

Question 2
2.

An angle, in radians, that is co-terminal with 30° is

Question 3
3.

The graph of y=k(x-2)^{2}(x-4) has a y-intercept of -96. The value of k, correct to the
nearest tenth, is ___.

Question 4
4.

On a unit circle, if the point P (-\frac{5}{13}, \frac{12}{13}) lies on the terminal arm of an angle in standard position, what is the value of sec θ?

Question 5
5.

The values of (f+g)(1), (f\omicron~g)(3), and g^{-1}(1), respectively are:
__, ___, and ___.

Question 6
6.

The exact value of sin(-\frac{π}{6})+cos(\frac{7π}{4}) is

Question 7
7.

The function f(x) = \frac{1}{x} is transformed to y = -\frac{5x+7}{x+2}. The transformation to the function has a vertical stretch factor of a, horizontal translation of h units left and vertical translation of k units down. Enter the value of ahk.

Question 8
8.

The inverse of y=\sqrt{2x+6} can be written as y=\frac{1}{a}(x-b)^2-c, where y\geq - d. Enter the values for abcd.

Question 9
9.

The smallest positive coterminal angle of \frac{45\pi}{14} is \frac{a\pi}{14} and the reference angle is \frac{b\pi}{14}. The value of the sum a + b is

Question 10
10.

The value of b, c, d and e are, respectively:
___, ___, ___, and ___.