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Write the equation of the function that has a graph the shape of , vertically shrunk by a factor of 1/4 and shifted right 6 units.
Write the equation of the function that has a graph the shape of y = „ x„ , reflected about the x-axis and shifted down 1 unit.
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Write the equation of the function that has a graph the shape of y=�ã3:(), vertically shrunk by a factor of 1/4th and shifted right 6 units.
Write the equation of the function that has a graph the shape of y=„ x„ ,reflected about the x-axis and shifted down 1 unit.
Thanks!!
To find the equation of a function with a graph that is vertically shrunk, shifted, or reflected, we can start with the equation of the original function and apply the necessary transformations.
1. For the first question, we have a graph that is vertically shrunk by a factor of 1/4 and shifted right 6 units. The original function is y = f(x).
To vertically shrink the graph by a factor of 1/4, we multiply the original function by 1/4, which gives us y = (1/4)f(x).
To shift the graph right 6 units, we replace x with (x - 6), resulting in y = (1/4)f(x - 6).
Therefore, the equation of the function is y = (1/4)f(x - 6).
2. For the second question, we have a graph that is reflected about the x-axis and shifted down 1 unit. The original function is y = f(x).
To reflect the graph about the x-axis, we multiply the original function by -1, which gives us y = -f(x).
To shift the graph down 1 unit, we subtract 1 from the original function, resulting in y = f(x) - 1.
Therefore, the equation of the function is y = -f(x) - 1.
Note: The original function is missing from both questions. Without knowing the shape of the graph of the original function, we cannot determine the exact equation.