Question

Identify the vertex, complete the table and the graph g(x) = (x-4)^2 -5Question 1

Answer 1

Given the equation

`(x-4)^2-5`

We are asked to identify the vevrtex, complete the table and plot the graph of the function. This can be seen below.

Answer

The vertex form of a quadratic equation can be written as:

`\begin{gathered} y=a(x-h)^2-k \\ \text{where (h,k) is the location of the vertex} \end{gathered}`

Therefore by comparison, the value of the vertex is

Answer A: (4,-5)

We can complete the table below by substituting the chosen value of x into the given function

We can then have the graph as: