Which of the following sequence of shifts would you perform in order to obtain the graph of f(x) = (x - 4)² + 1 from the graph of g(x) = x² A.) Shift the graph of g up 1 unit and then left 4 units B.) Shift the graph of g down 1 unit and then right 4 units C.) Shift the graph of g up 1 unit and then right 4 units D.) Shift the graph of g down 4 units and then right 1 unit E.) none of these When you subtract 4 from the x-value, it shifts the graph right 4 units on the x-axis {that is shown in (x - 4)} When you add 1 to the y-value, it shifts the graph up 1 on the y-axis {that is shown by adding 1 to what f(x) equals} The right and left shifts are easily misunderstood and confused. Remember: - when you subtract from the x-value, it shifts the graph to the right, and when you add to the x-value it shifts the graph to the left {opposite of what most people think it should be} Also, - when you add to the y-value, it shifts the graph up, and when you subtract from the y-value, it shifts the graph down C.) Shift the graph of g up 1 unit and then right 4 units- Algebra House
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