The equation of a hyperbola is given by \( f(x)=\frac{3}{x-7}-4 \). Write down the equation of the new function that is formed when \( f \) is transformed as follows: 3.1 Shift two units to the left 3.2 Shift 3 units up 3.3 Shift 1 unit right and 2 units down 3.4 The equation of the new hyperbola has new asymptotes at \( x=-4 \) and \( y=-1 \)

1. Найдите т \( y=x^{3}-48 x+14 \)

What is the solution to the equation? \( \sqrt[3]{2 x+5}=5 \) A. 240 B. 65 ( \( ) 60 \) D. 6 D. 5

It would take Charlene and Gina 18 minutes to organize Charlene's comic book collection if they work together. If Gina works alone, it would take her 15 minutes longer than it would take Charlene working alone. When \( x \) represents the number of minutes it takes Charlene to organize the comic book collection working alone, the situation is represented by this equation: \( \frac{1}{x}+\frac{1}{x+15}=\frac{1}{18} \), Which value is a solution of the rational equation that must be discarded because of the context? A. \( x=0 \) B. \( x=-9 \) C. \( x=-15 \) D. \( x=-30 \)

If no denominator equals zero, which expression is equivalent to \( \frac{x+2}{x^{2}-16} \div \frac{2 x+4}{x^{2}+3 x-4} \) ? A. \( \frac{x-1}{3 / x-1)} \)

Enter the correct answer in the box. Rewrite the expression \( 2 \sqrt[4]{x^{7}} \) using rational exponents. \( \begin{array}{lll}\frac{\square}{\square} & \text { (ㅁ) } \mid \text { 미 } \square^{\square} \mid+--\end{array} \)