What is the ordered pair of the endpoint in the standard form of a square root function y=5√x−4−−−−−−1 ?(1 point)

Question

Responses

(4,−1)
left parenthesis h comma k right parenthesis

(−4,1)
left parenthesis negative h comma negative k right parenthesis

(4,1)
left parenthesis h comma negative k right parenthesis

(−4,−1)

Answer 1

To identify the ordered pair of the endpoint for the square root function \( y = 5\sqrt{x-4} - 1 \), we can rewrite it in the form:

\[ y = a\sqrt{x-h} + k \]

where \( (h, k) \) is the vertex (or the endpoint for a square root function).

From the given function:

• The term inside the square root, \( x - 4 \), indicates that \( h = 4 \).
• The \( -1 \) outside the square root indicates that \( k = -1 \).

Thus, the vertex or endpoint is at the point \( (h, k) = (4, -1) \).

Therefore, the correct ordered pair that indicates the endpoint in standard form is:

(4, -1).