Learn how to write the equation of a parabola given vertex and a point on the graph

The video tutorial explains how to write equations in vertex and standard form. It begins by introducing the concept of vertex form and its usefulness when given a vertex. The instructor demonstrates solving for 'a' in vertex form using given points and emphasizes the importance of parentheses in calculations. The tutorial then covers simplifying the equation using order of operations and converting the equation from vertex form to standard form, highlighting the use of the distributive property.

What is the primary advantage of using vertex form when given two points?

• It eliminates the need for any calculations.

• It simplifies the equation to a linear form.

• It provides the vertex, which helps in solving for 'a'.

• It allows for easy calculation of the slope.

In the process of solving for 'a', why is the use of parentheses emphasized?

• To make the equation easier to read.

• To ensure correct order of operations and avoid mistakes.

• To make the equation look more complex.

• To separate the variables from the constants.

What is the value of 'a' after solving the equation 5 = a * 1 + 3?

• 3

• 1/2

• 2

• 1

What is the first step in converting an equation from vertex form to standard form?

• Finding the vertex.

• Solving for 'a'.

• Applying the distributive property.

• Adding the constant term.

When expanding (X + 1) * (X + 1), what is the resulting expression?

• X^2 + 2X + 1

• X^2 + 1

• X^2 + 2

• 2X + 1