Question

Identify the y-intercept of the function, f(x)=3(x-1)2 +5

Answer 1

We do so by finding the value of
`f(0)` because everything that is at x = 0 it must intersect y.

`f(0)=3(0-1)+5=2`

So the y-intercept at x = 0 is y = 2.

Hope this helps.

Answer 2

`\text{In order to find the y intercept, x has to be 0}\\\\\text{Plug in 0 to x and solve:}\\\\f(x)=3(0-1)^2 +5\\\\f(x)=3(-1)^2 +5\\\\f(x)=3(1)+5\\\\f(x)=3+5\\\\f(x)=8\\\\\boxed{\text{The y-intercept is at 8}}`