Question

Find the y-intercept of the functions g(x)=(x-4)^2. please use an appropriate limit much appreciated

Answer 1

Given the function below

`g(x)=(x-4)^2`

Therefore

`y=(x-4)^2`
`\begin{gathered} y=(x-4)(x-4) \\ y=x^2-4x-4x+16 \end{gathered}`
`y=x^2-8x+16`

Given the general equation of a quadratic function as:

`\begin{gathered} y=ax^2+bx+c \\ c\rightarrow is\text{ the yintercept} \end{gathered}`

Hence, the y-intercept of the function g(x) is 16