To find the vertex of a quadratic equation from its graph, here are some important points to remember:
Vertex Location: The vertex is the highest or lowest point on the curve, which is called a parabola. If the parabola opens up, the vertex is the lowest point. If it opens down, the vertex is the highest point.
Axis of Symmetry: This is a fancy term for a line that divides the parabola into two equal parts. You can find this line using the formula: (x = -\frac{b}{2a}). Here, (a) and (b) are numbers from the quadratic equation, which looks like (y = ax^2 + bx + c).
Y-Coordinate of the Vertex: Once you have the (x) value of the vertex, plug it back into the equation to find the (y) value.
Intercepts: The graph crosses the y-axis at the point ((0, c)). This point can help you understand how the graph looks.
By looking at these features, you can easily find the vertex of a quadratic equation!
To find the vertex of a quadratic equation from its graph, here are some important points to remember:
Vertex Location: The vertex is the highest or lowest point on the curve, which is called a parabola. If the parabola opens up, the vertex is the lowest point. If it opens down, the vertex is the highest point.
Axis of Symmetry: This is a fancy term for a line that divides the parabola into two equal parts. You can find this line using the formula: (x = -\frac{b}{2a}). Here, (a) and (b) are numbers from the quadratic equation, which looks like (y = ax^2 + bx + c).
Y-Coordinate of the Vertex: Once you have the (x) value of the vertex, plug it back into the equation to find the (y) value.
Intercepts: The graph crosses the y-axis at the point ((0, c)). This point can help you understand how the graph looks.
By looking at these features, you can easily find the vertex of a quadratic equation!