How do you know if its a maximum or minimum?
Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.
How do you determine if a vertex is a maximum or minimum without a graph?
How do you find the maximum and minimum of a vertex?
Without graphing the function, c you determine whether the vertex is a minimum or maximum? Yes, you can! You just need to check the “a” value of the function. If a>0, then the parabola opens upward (smiley), and the y-value of the vertex is the minimum value of the function.
How do you find the vertex?
What is the vertex from?
To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through the formula for the axis of symmetry. Then, you’ll use that value to solve for y (or x if your parabola opens to the side) by using the quadratic equation. Those two coordinates are your parabola’s vertex.