Question

For f(x)=x^2,sketch the graph of g(x)=f(-5x+10)

Answer 1

The graph of g(x) = f(-5x+10) is given in the figure.

What is a graph?

A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.

It is given that f(x) = x^2

and g(x ) = f(-5x+10)

Now putting the value of f(x) in g(x) we get,

g(x)  = f(-5x+10)  = (-5x+10)^2

So, g(x) = (-5x+10)^2

now, making the table for g(x),

x g(x)

0 100

1 81

2 0

3 25

4 100

5 225

Hence,the graph of g(x) = f(-5x+10) is given in the figure.

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