Given the function: \( h(x)=-\frac{2}{x-2}+2 \). \( 5.1 \quad \) Write down the equations of the asymptotes of \( h \). \( 5.2 \quad \) Draw the graph of \( h \). Clearly show all asymptotes and intercepts with the axes. \( 5.3 \quad \) Determine the equation of the axis of symmetry of \( h \) with \( m<0 \).

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 \( y= \)

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

If \( (-1,8) \) is a point on the graph of \( y=f(x) \), which of the following must be on the graph of \( y=f(-x) \) ? \( (8,1) \) \( (-1,-8) \) Choose the correct answer below. \( (1,8) \) \( (-8,-1) \)

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.

Clearly indicate all intercepts with the axes as well as the QUESTION 7 Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) : 7.1 Write the equations of the asymptotes of \( k \). 7.2 Give the range of \( k \). 7.3 Give the domain of \( k \).