Finding the Vertex of a Quadratic: Maximum or Minimum

This video tutorial explains how to find the vertex of a quadratic equation and determine if it is a maximum or minimum point. The graph of a quadratic is a parabola, which can open upwards or downwards depending on the sign of the coefficient of the squared term. A positive coefficient means the parabola opens upwards, indicating a minimum vertex, while a negative coefficient means it opens downwards, indicating a maximum vertex. The vertex can be calculated using the formula x = -b/2a, where 'b' is the coefficient of the linear term and 'a' is the coefficient of the squared term. An example is provided to illustrate these concepts.

What shape does the graph of a quadratic equation form?

• A parabola

• A straight line

• A circle

• A hyperbola

How can you determine if a parabola opens upwards?

• The coefficient of the linear term is positive

• The coefficient of the squared term is negative

• The coefficient of the squared term is positive

• The constant term is positive

What is the vertex of a parabola?

• The point where the graph intersects the x-axis

• The highest or lowest point on the graph

• The point where the graph intersects the y-axis

• The midpoint of the graph

Which formula is used to find the x-coordinate of the vertex of a quadratic equation?

• x = b/2a

• x = -b/2a

• x = -a/2b

• x = a/2b

In the example y = 2x^2 + 12x + 3, what is the x-coordinate of the vertex?

• -3

• 3

• 6

• -6