Understanding Adding and Subtracting Rational Expressions

The video tutorial introduces the concept of vertex form for quadratic equations, comparing it with the standard form. It explains how to find the vertex and axis of symmetry in vertex form, providing examples to illustrate the process. The tutorial then demonstrates how to graph quadratic equations using vertex form, with detailed examples to guide the viewer through the steps involved.

What is the vertex form of a quadratic equation?

• y = a(x - h)^2 + k

• y = a(x + h)^2 + k

• y = ax^2 + bx + c

• y = ax^2 + k

Which formula is used to find the vertex in standard form?

• x = a/2b

• x = -a/2b

• x = b/2a

• x = -b/2a

In vertex form, what does the 'h' value represent?

• The coefficient of x

• The y-coordinate of the vertex

• The x-coordinate of the vertex

• The axis of symmetry

If the vertex form of a quadratic is y = a(x + 3)^2 + 2, what is the vertex?

• (3, 2)

• (-3, -2)

• (3, -2)

• (-3, 2)

For the equation y = a(x - 4)^2 + 5, what is the axis of symmetry?

• y = -4

• x = 4

• x = -4

• y = 4

In the equation y = a(x - 2)^2 + 7, what is the vertex?

• (2, 7)

• (-2, 7)

• (2, -7)

• (-2, -7)

When graphing y = -x^2 + 4, what is the y-coordinate of the vertex?

• 4

• -4

• 0

• 2

In the equation y = 3(x - 1)^2, what is the vertex?

• (1, 0)

• (0, -1)

• (-1, 0)

• (0, 1)

For the equation y = 3(x - 1)^2, what is the axis of symmetry?

• y = -1

• y = 1

• x = -1

• x = 1

What is the y-coordinate of the vertex for y = 3(x - 1)^2?

• 0

• 3

• 1

• -1