SOLUTION: Give the equation of the function whose graph is describe. the graph of y=x^2 is shifted 4 units to the left. This graph is then vertically stretched by a factor of 5 and reflec

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Question 47647: Give the equation of the function whose graph is describe.
the graph of y=x^2 is shifted 4 units to the left. This graph is then vertically stretched by a factor of 5 and reflected across the x-axis. finally the graph is shifted 7 units downward.
Help please

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
Remember Vertex Form: f(x) = a(x - h)^2 + k where v(h,k): h determines left and right while k determines up or down
f(x) = x^2

f(x) = (x - 4)^2 shift four units to the right

f(x) = 5*(x - 4)^2 stretched by a factor of five vertically

f(x) = -5*(x - 4)^2 reflected along the x-axis (+a is up; -a is down)

f(x) = -5*(x - 4)^2 - 7 shifted downward seven units

f(x) = -5x^2 + 40x - 87

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