Exploring quadratic functions

1.)  Quadratic equation: A polynomial equation of the second; the standard form

of a quadratic equation ax^2+bx+c=0

2.)  Example of quadratic function: 2x^2+4x+3=0

Example of a function not quadratic: 1x^2 + 0 + 1

3.)The right side of the graph goes slightly out more than the left

 

4.) y= 4x^2 + 2x+ 2

 

y= 5x^2 + 3x + 3

 

The graphs both are more on the left side. y= 4x^2 + 2x+ 2 <—– This graph is under the 2 y axis, more to the left of the y axis and goes up outwards.

y= 5x^2 + 3x + 3 <—– This graph is on the 3 y axis and goes up outwards.

 

 

5.) Keep b and c constant (ie. Don’t change their value). Describe what happens to the graph when:

    1. Does the graph have a maximum point or a minimum point?

-The graph would be more to the left

-Minimum

 

    1. Does the graph have a maximum point or minimum point?

-the graph would be above the 0 X axis

-Maximum

-The graph is above the x axis slightly to the left of the Y axis spreading outwards

 

 

-The graph is more towards the left in the negative X region spreading out upwards

 

6.) When the graph is below 0 its a maximum and when the graph is above 0 it’s a minimum

 

7.)  When C changes the minimum goes up or down

 

 

Part 2:

See if by adjusting the sliders, you can get a curve that just touches the x axis (y=0).

 

Equation: y= 4x^2 + 0x + 0

 

Adjust the sliders so you can get the roots of 1 and -1

 

Equation: y = 0.1x^2 + 0x + 10   <—– 1 solution

 

 

Adjust the sliders so that the curve does NOT cross the x-axis.

 

Equation:  y = 2x^2 + 0 + 2 <—- 2 solutions

Safety First Cheat Sheet


Fire:

If a fire happens and catches onto your clothing stop where you are and drop to the floor, roll slowly on the ground, doing this the fire will be put out. You can also put out a fire on yourself by being wrapped in a fire blanket.
Image result for stop drop and roll


Burns/Scalds:

Place burn under cold water for at least 10 minutes to relieve pain.

Image result for burn under cold water


 

Chemicals:

When cleaning the kitchen with harsh chemicals it is important to wear proper protective gear such as gloves, surgical mask, and goggles so it won’t cause any damage to your body.

Image result for gloves latexImage result for surgical maskImage result for scientific goggles


 

Slips/Trips/Falls:

To prevent slipping clean up spills and messes immediately


Cuts:

When cutting vegetables, meats and fruits use the grip called “the claw”. Holding the food with four fingers and thumb tucked behind the fingers.


Heavy Lifting: 

Lifting heavy objects can cause serious injuries. To prevent injuries bend your hips and knees to squat down, keep the object close to your body and straighten your legs to lift

Image result for lifting heavy objects


How to Prevent Food Poisoning:

-Do not put warm leftovers in the fridge

-Do not mix utensils after you’ve cut meat with to avoid cross-contamination

-Don’t cut meat and vegetables on the same cutting board without disinfecting

 

Image result for how to prevent food poisoning


Waste Management:

To control waste management use FIFO a First In First Out rotation. FIFO is an essential rotation to prevent foodborne illnesses and controlling the cost of food waste in the kitchen.

 


Personal Hygiene:

-Tie back long hair before cooking

-Wash hands up to elbows with hot water and soap

-After coughing or sneezing wash hands before continuing cooking

Image result for tie back long hair Image result for wash hands