Sketching Graphs from the Factored Form

What are the zeros of the quadratic equation discussed in the video?

• x = 1, -1

• x = -1, 2

• x = 0, 1

• x = -2, 1

What is the axis of symmetry for the parabola discussed?

• x = -0.5

• x = -1

• x = 0

• x = 1

What is the value of 'a' in the original quadratic equation?

• 1

• -1

• 0

• 2

How do you determine the direction in which the parabola opens?

• By the y-intercept

• By the sign of 'a' in the equation

• By the roots of the equation

• By the vertex position

What should you do after identifying the roots to sketch the graph?

• Determine the coefficients of the quadratic equation

• Calculate the area under the curve

• Draw the parabola immediately

• Find the midpoint and calculate the vertex

How do you find the y-value of the vertex in the factored form of a quadratic equation?

• Set y to zero and solve for x

• Substitute the x-value of the vertex into the equation

• Multiply the roots

• Add the roots and divide by 2

What is the y-value of the vertex for the quadratic equation discussed?

• -2.25

• 0

• -1

• 1

What is the significance of the midpoint between the roots in sketching the graph?

• It indicates the maximum height of the parabola

• It is one of the roots

• It is the y-intercept

• It is the x-value of the vertex

What method is used to verify the vertex form of the quadratic equation?

• Completing the square

• Factoring

• Using the quadratic formula

• Graphing

What is the correct vertex form of the equation after completing the square?

• y = (x + 1/2)^2 - 2.25

• y = (x - 1/2)^2 + 2.25

• y = (x + 1/2)^2 + 2.25

• y = (x - 1/2)^2 - 2.25