Graphing Parabolas Using Zeros and Vertex

This video tutorial teaches how to graph parabolas using the zeros and vertex of quadratic equations. It covers solving quadratics by factoring, clarifies common misunderstandings about solutions, and explains how to graph using zeros and vertex. Different types of quadratic graphs are explored, including those with two zeros, one zero, and no real zeros. The tutorial also demonstrates writing quadratic equations from given graph zeros.

What is the first step in solving a quadratic equation by factoring?

• Graph the equation

• Find the vertex

• Set the equation equal to zero

• Use the quadratic formula

If a factor of a quadratic is x + c, what is the correct solution?

• x = 0

• x = -c

• x = c

• x = 1

How do you determine the x-value of the vertex of a parabola?

• By setting y to zero

• By using the quadratic formula

• By averaging the x-intercepts

• By finding the midpoint of the y-intercepts

What does it mean if a parabola has no real zeros?

• It is a linear equation

• It intersects the x-axis at two points

• It has a vertex on the x-axis

• It does not intersect the x-axis

What is the axis of symmetry for the quadratic y = x^2 + 6x + 9?

• x = -3

• x = 6

• x = 0

• x = 3

How can you obtain an equivalent quadratic equation with the same zeros?

• By changing the sign of the coefficients

• By dividing the equation by a constant

• By adding a constant to the equation

• By multiplying the equation by a constant

What is the quadratic equation with zeros at x = -1 and x = 3?

• x^2 - 2x - 3

• x^2 - 2x + 3

• x^2 + 2x + 3

• x^2 + 2x - 3