Graphing a quadratic with translations

The video tutorial explains how to work with quadratic equations in vertex form. It covers identifying the components of the vertex form equation, finding the vertex, determining the direction the graph opens, and graphing the parent function. The tutorial also discusses applying transformations to graph the equation accurately.

What is the vertex of the quadratic equation given in the vertex form y = (x - 3)^2 + 2?

• (3, -1)

• (-3, 1)

• (3, 2)

• (-3, -2)

If the value of 'a' in the vertex form equation is greater than zero, what does this indicate about the parabola?

• It is a horizontal line.

• It opens downwards.

• It is a vertical line.

• It opens upwards.

What is the vertex of the parent function of a quadratic equation?

• (0, 0)

• (2, 2)

• (3, 3)

• (1, 1)

How does the graph of y = (x - 3)^2 + 2 differ from the parent function y = x^2?

• It is shifted 3 units left and 2 units up.

• It is shifted 3 units left and 2 units down.

• It is shifted 3 units right and 2 units up.

• It is shifted 3 units right and 2 units down.

When graphing a quadratic in vertex form, what is the first step after identifying the vertex?

• Calculate the y-intercept.

• Plot the vertex on the graph.

• Determine the axis of symmetry.

• Find the x-intercepts.