5. Write an equation of the function g(x) that is the graph of f(x)=|x|, but shi

Question

5. Write an equation of the function g(x) that is the graph of  f(x)=|x|, but shifted left 2 units and shifted down 2 units.

6.

Write an equation for a function that has a graph with the given characteristics.

The shape of y=1/x shifted right 3 units and shifted up 6 units.

7.

Write an equation for a function that has a graph with the given characteristics.

The shape of y=x that is first reflected across the Y-axis, then shifted right 2 units.

8.

Write an equation for a function that has a graph with the given characteristics.

The shape of y=x that is first reflected across the Y-axis, then shifted right 5 units.

9. The point (13,-2) is on the graph of a relation which is symmetric with respect to the Origin. Give another point on the graph.  

The point (11,-17) is on the graph of a relation which is symmetric with respect to the Y-axis. Give another point on the graph.

The point (13,-11) is on the graph of a relation which is symmetric with respect to the X-axis. Give another point on the graph.  

10.

The point (19,8) is on the graph of y=f(x) .

a) A point on the graph of y=g(x) , where g(x)=f(x)9 is b) A point on the graph of y=g(x) , where g(x)=f(x+10) is c) A point on the graph of y=g(x) , where g(x)=7f(x) is d) A point on the graph of y=g(x), where g(x)=1/4f(x) is e) A point on the graph of y=g(x) , where g(x)=f(x) is f) A point on the graph of y=g(x) , where g(x)=f(x)g(x) is

Explanation / Answer

5) f(x) = |x|

shifted left 2 units and shifted down 2 units.

so, function g(x) can be written as

g(x) = | x + 2 | - 2

6) y=1/x shifted right 3 units and shifted up 6 units.

y = 1 / ( x - 3 ) + 6

7)  y=x that is first reflected across the Y-axis, then shifted right 2 units.

y = sqrt (-x+2)

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