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.
Question 5
5.
The values of (f+g)(1), (f\omicron~g)(3), and g^{-1}(1), respectively are:
__, ___, and ___.
Question 6
6.
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 ___.
The best estimate of the rotation angle θis
1.25 radians
3.12 radians
4.01 radians
5.38 radians
An angle, in radians, that is co-terminal with 30° is
\frac{5π}{6}
-\frac{13π}{6}
\frac{7π}{6}
\frac{25π}{6}
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?
-\frac{13}{5}
-\frac{5}{13}
\frac{13}{12}
-\frac{5}{12}
The exact value of sin(-\frac{π}{6})+cos(\frac{7π}{4}) is