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What is the equation of y = x^3 with the given transformations? Vertical compression by a factor of 1/7 , horizontal shift 8 units to the left, reflection across the x-axis.

Heather Maxwell

in Mathematics

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Jodi Brooks on February 23, 2019

y = x^3 {compression factor places the coefficient in front of the polynomial} and = (1/7) x^3 {horizontal shift 8 units to the left, everything changes x to x + 8} y = (1/7) (x+8)^3 {Reflection across the x-axis, is done all the values, and negative aspects of one another} -y = (1/7) (x+8)^3 {Now multiply by -1 to get y = f(x) form} y = (-1/7) (x+8)^3


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