Math Problem Solver

7. Given: \( f(x)=-\frac{1}{2}(x-1)^{2}+6 \)a) State the transformation from \( f(x)=x^{2} \)b) State the vertex.c) State the Max/Min value.d) State the equation for the axis of symmetry.e) Does this function open up or down?f) Calculate the step pattern for this function.g) Graph this function on a piece of graph paper.h) State the domain and range for the function.i) Expand and simplify this function from vertex form into standard form.j) Identify / Calculate the \( y \) - intercept.k) Determine f(4).