(11 Nov 21) Introduction to relationships, equations and graphing

2. Come up with FIVE LINEAR equations

3. Come up with 5 QUADRATIC equations

For this linear equation, find the value of x when y equals:

y = 0: x = ?

y = 1; x = ?

y = 10; x = ?

y = -2; x = ?

For this quadratic equation, find the value of x when y equals:

y = 0: x = ?

y = 1; x = ?

y = 10; x = ?

y = -2; x = ?

Use the DESMOS tool to work these out (https://www.desmos.com/calculator)

What is a possible the equation for a LINEAR graph that is very steep, goes downhill, and passes through the x axis at 6
What is a possible equation for a LINEAR graph that is only a little bit uphill, and passes through the y axis at -3
What is a possible equation for a LINEAR graph that is uphill and passes through the x axis at 6 and the y axis at -1
What is a possible equation for a LINEAR graph that is downhill, and passes through the x axis at -10

Use the DESMOS tool to work these out (https://www.desmos.com/calculator)

What is a possible equation for a QUADRATIC graph that is that shape of a happy face and passes through the x axis at two different points
What is a possible equation for a QUADRATIC graph that is that shape of a sad face and passes through the x axis at two different points
What is a possible equation for a QUADRATIC graph that is that shape of a happy face and passes through the x axis at only one point
What is a possible equation for a QUADRATIC graph that is that shape of a sad face and doesn't pass through the x axis

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