Mixed Transformations Quadratics

What is the equation for the axis of symmetry?

Which of the following is the correct equation for the given graph?

Determine the vertex of the parabola:
y = 5x² - 20x + 13

Identify ALL of the transformations performed on $$f\left(x\right)=x^2$$ to create the graph of  $$g\left(x\right)=-\left(x-4\right)^2+2$$  

Label the graphs with the correct transformation compared to the parent function f(x)=x^2

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

$$The\ parent\ function\ f\left(x\right)\ =\ x^2$$ has translated by opening ​ (a)   ​ and moving (b)   and to the ​ (c)  

the final equation would look like ​ (d)  

Match each graph with how it would move according to the (h,k) shifts. The original graph is $$y=x^2.$$ It's graph is on the left.