The parent function y=f(x)
is horizontally stretched by a factor of 3. Points on the parent function include (0,0)
, (1,1)
, (2,4)
, and (3,9)
. Complete the table for y=f(13x)
.(1 point)
x f(13x)
0 0
3 1
4
9
To find the values of y for f(13x), we need to substitute the values of x in the equation f(x) with 13x.
Given that the points on the parent function are (0,0), (1,1), (2,4), and (3,9), we can substitute the values of x into the equation f(13x) to find the values of y.
When x = 0:
f(13x) = f(13*0) = f(0) = 0
Therefore, when x = 0, f(13x) = 0
When x = 3:
f(13x) = f(13*3) = f(39)
We don't have the value of f(39) from the given points, so we can't determine the exact value of f(13x) when x = 3 based on the provided information.
When x = 4:
f(13x) = f(13*4) = f(52)
Similarly, we don't have the value of f(52) from the given points.
When x = 9:
f(13x) = f(13*9) = f(117)
We also don't have the value of f(117) from the given points.
So, based on the given information, we can only determined that f(13x) = 0 when x = 0, but we cannot determine the exact values for f(13x) when x = 3, 4, or 9.