Create a new function in the form y=a(x−h)2+k by performing the following transformations on f(x)=x2. Give the coordinates of the vertex for the new parabola. g(x) is f (x) shifted right 7 units, stretched by a factor of 9, and then shifted down by 3 units. g(x) = ? Coordinates of the vertex for the new parabola are: x=? y=?

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Create a new function in the form y=a(x−h)2+k by performing the following transformations on f(x)=x2.   Give the coordinates of the vertex for the new parabola.  g(x) is f (x) shifted right 7 units, stretched by a factor of 9, and then shifted down by 3 units. g(x) = ?  Coordinates of the vertex for the new parabola are:  x=?  y=?

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Given information: The given function is f(x)=x2. Concept Used: If a is positve real number, then the graph of f(x−a) is the graph of y=f(x) shifted to the right a units. If a&amp;gt;1, the graph of y=cf(x) is the graph of y=f(x) stretched vertically by a. If a is positve real number, then the graph of f(x)−a is the graph of y=f(x) shifted downward a units. Calculation: First, we have to shift the graph to the right by 7 units. f(x−7)=(x−7)2 Now, stretched the graph by a factor of 9 units. 9f(x−7)=9(x−7)2 Now, shift the above graph downward by 3 units. 9f(x−7)−3=9(x−7)2−3 Compare the new equation with the equation y=a(x−h)2+k, we get h=7 and k=−3 Final Statement: The new coordinates of the vertex for the new parabola function is (7,-3) The new function is g(x)=9(x−702−3)

Create a new function in the form y = a(x-h)^2 + k by performing the following transformations on f (x) = x^2. Give the coordinates of the vertex for

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