Question
Identify the vertex of y = - 2 * (x - 13) ^ 2 + 47
(- 13, 47)
(26, 47)
(13, 47)
(- 2, 47)
(- 13, 47)
(26, 47)
(13, 47)
(- 2, 47)
Answers
GPT-4o mini
To identify the vertex of the quadratic function \( y = -2(x - 13)^2 + 47 \), we can use the vertex form of a quadratic equation, which is given by:
\[
y = a(x - h)^2 + k
\]
Here, \( (h, k) \) is the vertex of the parabola. In your equation:
- \( a = -2 \)
- \( h = 13 \)
- \( k = 47 \)
Thus, the vertex is \( (h, k) = (13, 47) \).
Therefore, the correct answer is:
**(13, 47)**
\[
y = a(x - h)^2 + k
\]
Here, \( (h, k) \) is the vertex of the parabola. In your equation:
- \( a = -2 \)
- \( h = 13 \)
- \( k = 47 \)
Thus, the vertex is \( (h, k) = (13, 47) \).
Therefore, the correct answer is:
**(13, 47)**