Question

Consider the function y equals left parenthesis x minus 5 right parenthesis squared plus 4.
​(a) Give the coordinates of the vertex of the graph of the function.
​(b) Graph the function on a window that includes the vertex.
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Part 1
​(a) The vertex of the function is
  
enter your response here. ​(Type an ordered​ pair.)

Answer 1

To find the vertex of the function \( y = (x - 5)^2 + 4 \), we can identify the vertex directly from the vertex form of a quadratic function, which is given by \( y = a(x - h)^2 + k \). In this form, the vertex is at the point \( (h, k) \).

In your function, we have:

- \( h = 5 \)
- \( k = 4 \)

Thus, the vertex of the function is \( (5, 4) \).

So, the answer to part (a) is:
**(5, 4)**.