SOLUTION: the graph of f(x) shown below, resembles the graph of g(x)=x^2, but it has been flipped over the x-axis and shifted down 4 units and left 1 unit. write the equation of f(x).
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-> SOLUTION: the graph of f(x) shown below, resembles the graph of g(x)=x^2, but it has been flipped over the x-axis and shifted down 4 units and left 1 unit. write the equation of f(x).
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Question 435260: the graph of f(x) shown below, resembles the graph of g(x)=x^2, but it has been flipped over the x-axis and shifted down 4 units and left 1 unit. write the equation of f(x).
step1: using the equation f(x)=x^2, write the equaton for the groah that has been flipped over the x-axis.
step2: using the equation written in step 1, write the equation for the graph that has also been shifted down 4 units.
step3:using the equation written in step 2, write the equation for the graph that has also been shifted left 1 units. Answer by ewatrrr(24785) (Show Source):
Hi
Using the vertex form of a parabola, where(h,k) is the vertex
f(x)=x^2 (green)
step1: equaton for the graph that has been flipped over the x-axis. f(x)= -x^2 (blue)
step2: equation for the graph that has also been shifted down 4 units.
f(x) = -x^2-4 (Purple)
step3: f(x) = -(x+1)^2-4 (Yellow) shifted 1 unit to the left
