Transformations of Quadratic Functions Leave a Comment / By doina@highschoolmathtests.com / February 22, 2023 1. Which transformation does the function \[f(x)=x^{2}\] undergo when it is transformed to \[g(x)=(x-3)^{2}\] a horizontal shift 3 units to the right a horizontal shift 3 units to the left a vertical shift 3 units up a vertical shift 3 units udown None 2. What is the vertex form of the quadratic function \[y=2 x^{2}+4 x+1\] \[y=2(x+1)^{2}-1\] \[y=2(x -1)^{2}+1\] \[y=2(x+2)^{2}-3\] \[y=2(x -2)^{2}+3\] None 3. What is the effect of changing the coefficient a in the quadratic function? \[f(x)=a x^{2}+b x+c\] it changes the vertical stretch or compression it changes the horizontal shift it changes the vertical shift it changes the reflection about the x-axis None 4. What is the effect of changing the constant term c in the quadratic function? \[f(x)=a x^{2}+b x+c\] it changes the vertical stretch or compression it changes the horizontal shift it changes the vertical shift it changes the reflection about the x-axis None 5. What is the effect of changing the coefficient b in the quadratic function? \[f(x)=a x^{2}+b x+c\] it changes the vertical stretch or compression it changes the horizontal shift it changes the vertical shift it changes the reflection about the x-axis None 6. Which transformation does the function \[f(x)=x^{2}\] undergo when it is transformed to \[g(x)=(x+5)^{2}-1\] The graph of g is a translation 5 units right and 1 unit down of the graph of f The graph of g is a translation 5 units left and 1 unit up of the graph of f The graph of g is a reflection about the y-axis and a horizontal shift 5 units to the left The graph of g is a translation 5 units left and 1 unit down of the graph of f None 7. Which transformation does the function \[f(x)=x^{2}\] undergo when it is transformed to \[g(x)=(x-7)^{2}\] The graph of f when shifted 7 units to the left becomes the graph of g The graph of f when shifted 7 units up becomes the graph of g The graph of f when shifted 7 units to the right becomes the graph of g The graph of f when shifted 7 units down becomes the graph of g None 8. Which transformation does the function \[f(x)=x^{2}\] undergo when it is transformed to \[g(x)=(x-3)^{2}-3\] The graph of g(x) is a horizontal shift by 3 units to the left and a vertical shift 3 units down of the graph of f(x) The graph of g(x) is a horizontal shift by 3 units to the right and a vertical shift 3 units up of the graph of f(x) The graph of g(x) is a horizontal stretch by a factor of 3 and a vertical shift 3 units down of the graph of f(x) The graph of g(x) is a horizontal shift by 3 units to the right and a vertical shift 3 units down of the graph of f(x) None 9. Let \[f(x)=x^{2}+7\] Which function would have a graph that is 3 units down of the graph of f? \[g(x)=(x-3)^{2}+7\] \[g(x)=x^{2}+4\] \[g(x)=(x-3)^{2}+10\] \[g(x)=x^{2}+10\] None 10. Let \[f(x)=x^{2}+5\] Which function would have a graph that is a reflection over the x-axis of the graph of f? \[g(x)=- x^{2}+5\] \[g(x)=x^{2}-5\] \[g(x)=- x^{2}-5\] \[g(x)=x^{2}+5\] None 1 out of 10 Time's upTime is Up!