Graph the equation of an parabola with a horizontal axis of symmetry

This video tutorial explains how to graph a parabola using conic sections. It covers identifying the type of equation, determining the axis of symmetry, and using the equation y - k^2 = 4p(x - h) to find the vertex, focus, and directrix. The tutorial demonstrates solving for y, identifying the vertex at the origin, and calculating the distance to the focus and directrix. The lesson concludes with graphing the parabola and summarizing the key points.

What determines whether the axis of symmetry of a parabola is vertical or horizontal?

• The value of the vertex

• Whether x or y is squared

• The position of the focus

• The distance to the directrix

In the equation y^2 = 4Px, what does the vertex of the parabola represent?

• The starting point of the parabola

• The point where the parabola intersects the x-axis

• The midpoint between the focus and the directrix

• The point where the parabola intersects the y-axis

How do you determine the value of P in the equation y^2 = 4Px?

• By adding the coefficient of x to 4

• By multiplying the coefficient of x by 4

• By subtracting 4 from the coefficient of x

• By dividing the coefficient of x by 4

What is the relationship between the focus and the directrix of a parabola?

• They are the same point

• They are equidistant from the vertex

• The focus is always above the directrix

• The directrix is always to the left of the focus

How is the equation of the directrix of a parabola determined?

• By using the same value of P but in the opposite direction

• By halving the value of P

• By adding the value of P to the vertex

• By doubling the value of P