The minimum value occurs when y =
Understand the Problem
The question pertains to finding the minimum value on a parabola from a provided graph. We need to determine whether the graph represents a minimum or maximum, then identify the corresponding y-value at the vertex of the parabola, then state what the x value is at the vertex.
Answer
-4
Answer for screen readers
-4
Steps to Solve
- Identify whether the graph has a minimum or maximum value
The graph opens upwards, so it has a minimum value, not a maximum value.
- Locate the vertex of the parabola
The vertex is the lowest point on the graph, which appears to be at the point $(1, -4)$.
- Identify the y-value at the vertex
The y-value at the vertex is $-4$.
- State the final answer with correct context
The minimum value occurs when $y = -4$.
-4
More Information
The vertex of a parabola is the point where the parabola changes direction. For a parabola that opens upward, the vertex is the minimum point. For a parabola that opens downward, the vertex is the maximum point.
Tips
A common mistake is confusing the x and y coordinates of the vertex. The question asks for the y-value, so make sure to provide the y-coordinate of the vertex.
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