### Concept (1)

In a parabola, the vertex is the highest or lowest point on a parabola. To calculate the vertex of a parabola, we can first calculate the x-value by dividing the opposite of the " b" value by 2 times the "a" value. The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward. The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry.

### Sample Problems (8)

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Find the vertex of

f(x) = x² + 6x + 8
###### Problem 1
How to find the vertex and axis of symmetry of a parabola when they are whole numbers.

Find the vertex of f(x) = x² + 3x + 4. Write the equation for the axis of symmetry.

###### Problem 2
How to find the vertex and axis of symmetry of a parabola when they are fractional values.
###### Problem 4
Vertex as the maximum value.
###### Problem 5
Finding the vertex of a quadratic function.
###### Problem 6
Graphing parabolas using transformations.
###### Problem 7
Maximizing rectangular area.
###### Problem 8
Using a table of values to graph a parabola.