Monday October 3rd, 2016

1. The turning point is the vertex​

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2. Concave up is when a parabola looks like a smile.

• HOW DO YOU KNOW IT'S CONCAVE UP?
  • It's concave up because in your equation, if there is no negative sign in front of your equation, your parabola's vertex is going to be close to the x-axis and going upwards.

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3. Concave down is when a parabola looks like a frown.

• HOW DO YOU KNOW IT'S CONCAVE DOWN:
  • ​It's concave down because in your equation, if you have a negative sign in front of your equation, it immediately does the opposite of what a positive does and flips your parabola upside down. Your vertex is going to be close to the x-axis and going downwards.

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4. How to make a parabola wider

• PARABOLA WIDER:
  
  • ​To make a parabola wider, you either add a decimal in front of your equation or behind, and it creates a wider parabola.
    

• MAKING A PARABOLA SLIMMER
  • ​To make a parabola slimmer, you add a whole number in front of your equation or behind it, and it creates a slimmer parabola.

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5. Adding and subtracting changes the way the parabola moves to, either, the right or left.

• PARABOLA TO THE RIGHT:
  • ​If you want your parabola to move to the right, in your equation, you have to place a subtracting symbol.
    

• PARABOLA TO THE LEFT:
  • ​If you want your parabola to move to the left, you need to have an adding symbol into your equation.

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6. What a, h, and k mean in an equation when substituted instead of numbers.

• A:
  • ​When working with the variable a in this equation, a basically tells you whether your parabola is going to be wide or thin.
• H:
  
  • ​When working with the variable h in this equation, h basically tells you whether your parabola is going left or right.
    
• K:
  
  • ​When working with the variable k in this equation, k basically tells you whether your parabola is going up or down.