Identify the translations of the graph of the parent function \( f(x)=x^{2} \) that result in the graph of \( g(x)=(x+2)^{2}+6 \). right 6 units, down 2 units right 2 units, up 6 units left 2 units, up 6 units left 6 units, up 2 units

a) \( \log _{2} x=1-x \);

Question 3 A store is selling a large selection of men's shirts, and every shirt has the same price. Kiyoshi buys 6 shirts and gets a \( \$ 30 \) discount. His friend Gregory buys 4 shirts and does not receive a discount. Gregory spends \( \$ 20 \) less than Kiyoshi. What is the price of one shirt without any discount? \( \$ 25 \) \$ \( \$ 5 \) \$ \( \$ 100 \) \( \$ 80 \)

Which of the following equations has no solution? \( \begin{array}{c}5 x+20-7 x=7(3+x)-3 x \\ x+20-5 x=7(3+x)-3 x \\ 5 x+21-x=7(3+x)-3 x \\ 5 x+20-x=7(3+x)-3 x\end{array} \)

6) \( \frac{1}{x-2}=2 \)

e) \( (3 x+2) \cdot\left(x^{3}-2 x^{2}+1\right)= \)