QUESTION 5 Given the hyperbola: \( f(x)=\frac{3}{x-2}+1 \) 5.1 Write down the equations of the asymptotes of \( f \). 5.2 Write down the \( y \)-intercept of \( f \). 5.3 Determine the \( x \)-intercept of \( f \). 5.4 Sketch the graph of \( f \), showing ALL intercepts with the axes and any asymptotes. 5.5 Write down the domain of \( h \), if \( h(x)=f(x-2) \). (2)

122. Постройте график функции \( y=-x^{2}+2 x+8 \) и найдите, ис- пользуя график: а) значение функции при \( x=2,5 ;-0,5 ;-3 ; \) б) значения аргумента, при которых \( y=6 ; 0 ;-2 \); в) нули функции и промежутки знакопостоянства; г) промежутки возрастания и убывания функции, область зна- чений функции.

Express \( 148.38^{\circ} \) in radians. Answer \( = \) Blank 1 (Express your answer in 2 decimal points)

Which graph best represents \( y=5\left(\frac{1}{3}\right)^{x} \)

Find the function that is finally graphed after the following transformations are applied to the graph of \( y=\sqrt{x} \) in the order listed. (1) Shift up 7 units (2) Reflect about the \( x \)-axis (3) Reflect about the \( y \)-axis \( y= \)

QUESTION 7 Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) : \( 7.1 \quad \) Write the equations of the asymptotes of \( k \).