Question 1125077
equation is f(x) = x^2


reflection in the x-axis and a subsequent downward shift of 6 units gets you g(x) = -x^2 - 6


horizontal shift of 3 units to the right followed by a reflection in the x-axis gets you h(x) = -(x-3)^2


here's the graph of these functions.


the progression is from red to blue to green, with green being the final position of the graph.


first graph is first problem.


second graph is second problem.


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<img src = "http://theo.x10hosting.com/2018/100302.jpg" alt="$$$" >