Question

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

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

(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

Answer 1

To identify the ordered pair of the endpoint in the standard form of the square root function \( y = 5\sqrt{x - 4} - 1 \), we first need to analyze the function and rewrite it in the standard form of a square root function, which is generally expressed as \( y = a\sqrt{x - h} + k \).

From the equation:

- We can observe that \( a = 5 \),
- The expression under the square root is \( x - 4 \), indicating that \( h = 4 \),
- The constant term outside the square root is \( -1 \), indicating that \( k = -1 \).

The standard form tells us that the vertex (or endpoint) of the square root function is given by the ordered pair \( (h, k) \).

Thus, in this case:

- \( h = 4 \)
- \( k = -1 \)

Therefore, the ordered pair of the endpoint is \( (4, -1) \).

The correct response is:

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