Answer:
one x-intercept.
Transformation: shift to the right 8 units.
Step-by-step explanation:
The parent function is [tex]f(t)=t^{2}[/tex]
To find the number of x-intercepts, we equate the function to zero.
[tex]\implies t^{2}=0[/tex]
[tex]\implies t=0[/tex]
There is only one x-intercept at t=0.
The transformed function is
[tex]g(t)=(t-8)^2[/tex]
This function is obtained shifting the parent function 8 units to the right.
The x-intercept will now be at t=8.
Hence the image function also has one x-intercept.
