Answer:
The vertex is at (3, 2)
Step-by-step explanation:
Hello!
Vertex
The vertex of a parabola is the point of turning, or the minimum/maximum point of the parabola.
Since the graph opens up, the vertex is at the minimum point.
The y-value is 2, and the x-value is 3, giving us the vertex of (3, 2)
Other Parts
There are other parts to parabola than just the vertex.
Standard form of a quadratic: [tex]ax^2 + bx + c[/tex]
Other parts include:
- Axis of Symmetry, the line where the parabola is exactly symmetrical, and when folded in half, the sides will match. It is found using the formula [tex]-\frac{b}{2a}[/tex]
- X-intercepts, also known as the roots or zeroes of the graph, is where the graph touches the x-axis. It is found using the quadratic formula:[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]
- Y-intercepts, the point where the graph hits the y-axis. It is the "b" value in the equation.
