The image shows the vertex form of a parabola’s equation:
y = a(x – h)² + k,
where
(h, k) is the vertex (the lowest or highest point on the parabola).
In the graph, the vertex is marked with an “x” and labeled as
(h, k).
Looking at the coordinate system:
- The x-axis and y-axis intersect at the origin (0, 0).
- The vertex is located to the right of the y-axis and above the x-axis.
- From visual estimation (since no grid lines are given), we can see that the vertex appears to be at
x = 1 and
y = 1.
So, if we assume the scale is standard (each unit is one grid space), then:
→
h = 1
→
k = 1
Therefore, the vertex is at
(1, 1).
This matches the label in the diagram — it's just showing that the general point (h, k) corresponds to the actual vertex location on the graph.
Final Answer:
(1, 1)
Parent Tip: Review the logic above to help your child master the concept of vertex form of parabolas worksheet answers.
