Question

Suppose f(x)=x^2. what is the graph of g(x)=1/3 f(x)

Answer 1

Step-by-step explanation:

f(x) = x^2

g(x)= 1/3 f(x) = 1/3 x^2

First lets make a table for f(x)= x^2

Lets pick some numbers for x  and find out y

x           y=x^2

-3           (-3)^2 = 9

-1              1

0             0

1              1

3             9

Now we use the same x  values and make a table for g(x)

x         $g(x)= \frac{1}{3} x^2$

-3          $g(x)= \frac{1}{3}(-3)^2=3$

-1          $g(x)= \frac{1}{3}(-1)^2=\frac{1}{3}$

0             0

1           $g(x)= \frac{1}{3}(1)^2=\frac{1}{3}$

3          $g(x)= \frac{1}{3}(3)^2=3$

Graph the above table