Describe how to transform the graph of f into the graph of g fx sqrt x9 and gx sqrt x 5


Introduction

To transform the graph of f into the graph of g, we need to first identify the key points of each function. For f, these are (0,0), (1,1), and (-1,-1). For g, these are (0,0), (5,1), and (-5,-1). To transform f into g, we need to move each point on the graph of f horizontally by 4 units. This will give us the new key points of (4,0), (5,1), and (-1,-1) for g.

What is the graph of f?

The graph of f is a function that transforms the graph of x into the graph of y. The function f is defined by the equation y = f(x) = x2 + 5. To graph f, we first needs to find the inverse function of x, which is denoted by g(x). The inverse function of x is defined by the equation y = g(x) = x3. We can then use the transformed function to graph f(x). The graph of f will be a parabola that opens upward since we are squaring x.

What is the graph of g?

The graph of g is a parabola that has been shifted 5 units to the right and 9 units up.

How to transform the graph of f into the graph of g

In order to transform the graph of f into the graph of g, you need to first shift the graph of f horizontally to the left by 9 units and then vertically down by 5 units. This will produce the graph of g.

Conclusion

To transform the graph of f into the graph of g, we need to first find the equation of g. We can do this by substituting in x=9 and solving for y. This gives us y=sqrt(x9). To graph this, we need to find the points where x=9 and y=0. This gives us the points (9,0) and (-9,0). We can then plot these points on a graph and draw a line through them.


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