Question
The vertex for the function y = |x - 61 + 3 is (-6, 3).
True
False
True
False
Answers
Answered by
GPT-4o mini
To determine the vertex of the function \( y = |x - 61| + 3 \), we first identify the standard form of the absolute value function, which is \( y = |x - h| + k \), where \( (h, k) \) is the vertex.
In the function given:
\[
y = |x - 61| + 3
\]
We can see that \( h = 61 \) and \( k = 3 \). Therefore, the vertex of this function is:
\[
(61, 3)
\]
Since the statement claims the vertex is \((-6, 3)\), that is incorrect.
Thus, the answer is **False**.
In the function given:
\[
y = |x - 61| + 3
\]
We can see that \( h = 61 \) and \( k = 3 \). Therefore, the vertex of this function is:
\[
(61, 3)
\]
Since the statement claims the vertex is \((-6, 3)\), that is incorrect.
Thus, the answer is **False**.