Translations of graphs:

Translate a graph

Translate a graph

Translate a graph

Translate a graph

Reflections of graphs:

Reflect a graph in the y axis by replacing x with -x.

Reflect a graph in the x axis by replacing y with -y.

Reflect a graph in the x = y line by replacing x with y and y with x.

1. Given f(x) = x^{2} + 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?

^{2} + x - 1

^{2} + x - 5

^{2} + 3x - 3

^{2} - x - 3

2. Given f(x) = x^{2} + 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?

^{2} + x + 6

^{2} + 3x + 6

^{2} + 7x + 6

^{2} - x + 6

3. Given f(x) = 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 left and 3 units down?

^{3} - 3

^{3} + 3

^{3} + 3

^{3} - 3

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

^{5-x}

^{x-5}

^{x+5}

^{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.

^{x-3}

^{3-x}

^{3+x}

^{x}

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