The distance that a spring will stretch varies directly as the force applied to the spring. A force of 2 pounds is needed to stretch a spring 4 inches. What force is required to stretch the spring 14 inches? The required force to stretch the spring 14 inches is your answer.)

Find a formula for the inverse. \( f(x)=5 x^{3}-8 \)

a. \( (-2)^{-3} \)

Find a symbolic representation for \( f^{-1}(x) \) \( f(x)=\sqrt[3]{2 x} \)

3. A parabola with equation \( y=3(x-m)(x-2) \) has a vertex with \( x \)-coordinate equal to 7 . What is the \( y \)-coordinate of the vertex of this parabola?

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