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Quadratic Grapg/Transformations

Quiz by Daniel NIETO

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30 questions
Show answers
  • Q1
    The quadratic function y = (x-2)^2 - 3 has its vertex at which point?
    (-2, -3)
    (2, -3)
    (-2, 3)
    (2, 3)
    30s
  • Q2
    Given the quadratic function y = a(x - h)^2 + k, what do the 'h' and 'k' represent?
    The roots of the equation
    The vertex of the parabola
    The y-intercept of the graph
    The x-intercepts of the graph
    30s
  • Q3
    Which transformation does the graph of y = -(x-3)^2 + 4 represent compared to the graph of y = x^2?
    The graph is shifted 3 units to the left and 4 units up
    The graph is flipped over the x-axis, shifted 3 units to the right and 4 units up
    The graph is shifted 3 units to the left and 4 units down
    The graph is shifted 3 units to the right and 4 units down
    30s
  • Q4
    What transformation does the graph y = -1/2 x^2 represent compared to the graph of y = x^2?
    The graph is flipped over the x-axis and it is wider
    The graph is shifted 2 units up
    The graph is shifted 2 units right
    The graph is narrower and flipped over the x-axis
    30s
  • Q5
    In the quadratic equation y = (x-h)^2 + k, how will a negative 'h' value affect the graph compared to y = x^2?
    It will shift the graph to the right
    It will shift the graph upwards
    It will shift the graph to the left
    It will shift the graph downwards
    30s
  • Q6
    If the quadratic function is y = (x-1)^2 - 2, what is the direction of the opening of the graph?
    Upwards
    Downwards
    To the left
    To the right
    30s
  • Q7
    What transformation is represented by the function y = (x+4)² - 3?
    The graph is shifted 4 units to the right and 3 units up
    The graph is shifted 4 units to the right and 3 units down
    The graph is shifted 4 units to the left and 3 units up
    The graph is shifted 4 units to the left and 3 units down
    30s
  • Q8
    How will the graph of the function y = -2(x-1)^2 + 1 transform from the graph of y = x^2?
    The graph is compressed by a factor of 2, reflected in the x-axis, and shifted 1 unit left and 1 unit up
    The graph is stretched by a factor of 2, reflected in the x-axis, and shifted 1 unit right and 1 unit up
    The graph is compressed by a factor of 2, does not reflect, and is shifted 1 unit right and 1 unit down
    The graph is stretched by a factor of 2, reflected in the y-axis, and shifted 1 unit left and 1 unit down
    30s
  • Q9
    Which of the following transformations is achieved by the function y = -3(x + 2)^2 -1?
    The graph is reflected across the y-axis, vertically compressed by a factor of 3, shifted 2 units to the right and 1 unit up
    The graph is reflected across the y-axis, vertically stretched by a factor of 3, shifted 2 units to the right and 1 unit up
    The graph is reflected across the x-axis, vertically stretched by a factor of 3, shifted 2 units to the left and 1 unit down
    The graph is reflected across the x-axis, vertically compressed by a factor of 3, shifted 2 units to the left and 1 unit down
    30s
  • Q10
    Given the quadratic function f(x) = a(x-h)^2 + k, which of the following statements is true about the transformation of the function?
    The graph of the function is shifted h units to the left and k units up
    The graph of the function is shifted h units to the right and k units down
    The graph of the function is shifted h units to the left and k units down
    The graph of the function is shifted h units to the right and k units up
    30s
  • Q11
    How does the quadratic function y = 0.5(x+1)^2 - 2 transform from the graph of y = x^2?
    The graph is stretched by a factor of 0.5, shifted 1 unit to the left and 2 units up
    The graph is compressed by a factor of 2, shifted 1 unit to the right and 2 units down
    The graph is compressed by a factor of 0.5, shifted 1 unit to the left and 2 units down
    The graph is stretched by a factor of 2, shifted 1 unit to the left and 2 units up
    30s
  • Q12
    For the quadratic function y = -2(x-3)^2 + 4, how is the parabola transformed from the graph of y = x^2?
    The graph is reflected in the y-axis, vertically stretched by a factor of 2, and shifted 3 units to the right and 4 units up
    The graph is reflected in the x-axis, vertically stretched by a factor of 2, and shifted 3 units to the right and 4 units up
    The graph is reflected in the x-axis, vertically compressed by a factor of 2, and shifted 3 units to the left and 4 units down
    The graph is not reflected, vertically stretched by a factor of 2, and shifted 3 units to the right and 4 units up
    30s
  • Q13
    In the quadratic function y = 4(x + 2)^2 + 5, how is the graph transformed from the graph of y = x^2?
    The graph is vertically stretched by a factor of 4, shifted 2 units to the right and 5 units down
    The graph is vertically stretched by a factor of 4, shifted 2 units to the left and 5 units down
    The graph is vertically compressed by a factor of 4, shifted 2 units to the left and 5 units up
    The graph is vertically stretched by a factor of 4, shifted 2 units to the left and 5 units up
    30s
  • Q14
    How is the graph of the quadratic function y = -5(x + 3)^2 - 4 transformed from the graph of y = x^2?
    The graph is reflected in the x-axis, vertically compressed by a factor of 5, shifted 3 units to the left and 4 units up
    The graph is reflected in the y-axis, vertically stretched by a factor of 5, shifted 3 units to the right and 4 units up
    The graph is reflected in the x-axis, vertically stretched by a factor of 5, shifted 3 units to the left and 4 units down
    The graph is reflected in the x-axis, vertically stretched by a factor of 5, shifted 3 units to the right and 4 units up
    30s
  • Q15
    For the quadratic function y = (1/2)(x+4)^2 - 3, how will the graph transform from the basic graph of y = x^2?
    The graph is vertically compressed by a factor of 0.5, shifted 4 units to the left and 3 units down
    The graph is vertically stretched by a factor of 2, shifted 4 units to the right and 3 units down
    The graph is vertically compressed by a factor of 0.5, shifted 4 units to the right and 3 units up
    The graph is vertically stretched by a factor of 2, shifted 4 units to the left and 3 units up
    30s

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