My Quadratic equation:

Standard parabola in read: y=x ^2

Parabola in blue: y=a(x-h)^2+k

The “a” value: In this equation, the a value is -1/3. If the a value is less than 0 (that means the number is negative) the parabola will face downward. This parabola is wider than the standard parabola because the a value is less than 1, as it is a function.

The “h” value: In this equation, the h value is -5. When the h value has been subtracted in the equation, it makes the parabola shift horizontally to the right.

The “k” value: In this equation, the k value is -4. A negative k value makes the parabola shift vertical down. If the k value is positive, the parabola will shift up.

Significance:a, h and k values give a different forms to the parabola. They can decide the parabola is facing down or facing up; shift left or shift right; shift up or shift down.

Self-Assessment:

1. Give an example from this assignment where you represented the same mathematical idea in three different ways? (for example, as agraph, an equation and in words)

The equation of parabola is written. There is a picture of my parabola and standard parabola graph by using the DESMOS. I explain in word about how the a, h and k values make the different then the standard parabola.

2. Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding.

I use the mathematical vocabulary like: shifts, parabola, vatical, horizontally to help me better describe in this assignment.

3. Give an example from this assignment where you used formatting to share the information in a clear and organized way.

First, I use two colors to distinguish the standard parabola and my parabola. Second, The explanation is clearly written in sentences and list. I also bold the important words.