What is the relative mininum or maximum of a quadratic

The video tutorial explains the concepts of relative minimum and maximum in the context of parabolas. It discusses how these points are related to the vertex of the parabola and provides methods to find the vertex using both graphical and algebraic approaches. The tutorial introduces formulas for vertex calculation in standard and vertex forms and explains how the sign of the 'a' coefficient in the quadratic equation affects the direction of the parabola, determining whether it has a relative minimum or maximum.

What is the relative minimum of a parabola?

• The point where the graph intersects the y-axis

• The highest point on the graph

• The point where the graph intersects the x-axis

• The lowest point on the graph

What does the vertex of a parabola represent?

• The midpoint of the graph

• The intersection of the graph with the x-axis

• The intersection of the graph with the y-axis

• The point where the graph changes direction

How can you find the x-coordinate of the vertex in standard form?

• By using the formula B/2A

• By finding the midpoint of the x-intercepts

• By using the formula -B/2A

• By setting the equation to zero

In vertex form, what do the parameters h and k represent?

• The axis of symmetry and the y-intercept

• The coefficients of the quadratic term

• The slope and y-intercept of the parabola

• The x and y coordinates of the vertex

What happens to the parabola if the coefficient 'a' is less than zero?

• The parabola has no vertex

• The parabola becomes a straight line

• The parabola opens downwards

• The parabola opens upwards

If 'a' is greater than zero, what type of point does the parabola have?

• A relative maximum

• A relative minimum

• Both a relative minimum and maximum

• No relative extrema

What is the effect of a positive 'a' on the parabola's orientation?

• The parabola opens downwards

• The parabola opens upwards

• The parabola becomes a horizontal line

• The parabola becomes a vertical line