1. Given f(x) = x² + x - 3, what is the equation of the function g(x), if the graph of g(x) is found by shifting the graph of f(x) 2 units up?

g(x) = x² + x - 1


g(x) = x² + x - 5


g(x) = x² + 3x - 3


g(x) = x² - x - 3





2. Given f(x) = x² + 5x, what is the equation of the function g(x), if the graph of g(x) is found by shifting the graph of f(x) 1 unit left?

g(x) = x² + x + 6


g(x) = x² + 3x + 6


g(x) = x² + 7x + 6


g(x) = x² - x + 6





3. Given f(x) = x³, what is the equation of the function g(x), if the graph of g(x) is found by shifting the graph of f(x) 2 units left and 3 units down?

g(x) = (x - 2)³ - 3


g(x) = (x - 2)³ + 3


g(x) = (x + 2)³ + 3


g(x) = (x + 2)³ - 3





Question 4: Find an equation of the curve which results by translating 2 units to the left and 3 units up the graph of:












Question 5: Find an equation of the graph which results from shifting the graph of y = e^x, 5 units to the left, and then reflecting in the y-axis.

y = e^5-x

y = e^x-5

y = e^x+5

y = e^x + 5



Question 6: Find an equation of the graph which is obtained by reflecting in the line y = x the graph of:













Question 7: Find an equation of the graph which is obtained by reflecting the graph of y = e^3-x in the y-axis.

y = e^x-3

y = e^3-x

y = e^3+x

y = e^x





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