Questions: Use transformations of f(x)=x^2 to graph the following function. g(x)=-4(x-3)^2+1 What transformations are needed to graph the function g(x)=-4(x-3)^2+1 ? Choose the correct answer below. A. The graph of f(x)=x^2 should be horizontally shifted to the left by 3 units, stretched horizontally by a factor of 4, reflected about the y-axis, and shifted vertically up by 1 unit. B. The graph of f(x)=x^2 should be horizontally shifted to the left by 3 units, stretched vertically by a factor of 4, reflected about the y-axis, and shifted vertically up by 1 unit. C. The graph of f(x)=x^2 should be horizontally shifted to the left by 3 units, stretched horizontally by a factor of 4, reflected about the x-axis, and shifted vertically up by 1 unit. D. The graph of f(x)=x^2 should be horizontally shifted to the right by 3 units, stretched vertically by a factor of 4, reflected about the x-axis, and shifted vertically up by 1 unit. Use the graphing tool to graph the function. Click to enlarge graph

Transcript text: Use transformations of $f(x)=x^{2}$ to graph the following function. \[ g(x)=-4(x-3)^{2}+1 \] What transformations are needed to graph the function $g(x)=-4(x-3)^{2}+1$ ? Choose the correct answer below. A. The graph of $f(x)=x^{2}$ should be horizontally shifted to the left by 3 units, stretched horizontally by a factor of 4 , reflected about the $y$-axis, and shifted vertically up by 1 unit. B. The graph of $f(x)=x^{2}$ should be horizontally shifted to the left by 3 units, stretched vertically by a factor of 4 , reflected about the $y$-axis, and shifted vertically up by 1 unit. C. The graph of $f(x)=x^{2}$ should be horizontally shifted to the left by 3 units, stretched horizontally by a factor of 4 , reflected about the $x$-axis, and shifted vertically up by 1 unit. D. The graph of $f(x)=x^{2}$ should be horizontally shifted to the right by 3 units, stretched vertically by a factor of 4 , reflected about the $x$-axis, and shifted vertically up by 1 unit. Use the graphing tool to graph the function. $\square$ Click to enlarge graph