Identify the vertex on the graph.

Question

(2 points)
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A parabola is graphed on a coordinate plane. The x-axis ranges from negative 12 to 5 in increments of 1. The y-axis ranges from negative 15 to 5 in increments of 1.

Question 2
Identify the vertex of y=3(x−4)2−5
(2 points)
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Answer 1

To find the vertex of the quadratic function \( y = 3(x-4)^2 - 5 \), we can use the vertex form of a parabola, which is given by:

\[ y = a(x - h)^2 + k \]

where \((h, k)\) is the vertex of the parabola.

In the given equation, we can identify \( a = 3 \), \( h = 4 \), and \( k = -5 \).

Thus, the vertex of the parabola is:

\[ (h, k) = (4, -5) \]

So the final answer is:

(4, -5)