Power Model

Y= X^2

• squared power model
• power of two
• zero and positives values on the table(no negitives)
• y decreases at a drcreasing rate then increases an increasing rate
• u-shape (in quadrent I and IV)

Y=X^2'S equation

Y=X^2'S Table

Y=X^2'S graph

Y=X^3

• cubed power model
• power of 3
• the table has positives and negitives values and zero
• y increases at a decreasing rate until it reaches 0 then increases
• s-like shape(in quadrent I and III)

Y=X^3'S equation

Y=X^3'S TABLE

Y=X^3'S GRAPH

What happens when "a" values gets more positive?

COMPARING Y=X^2 TO Y=5X^2

• it gets steeper(tighter) looking on the graph
• the numbers on the table gets bigger

COMPARING Y=X^2 TO Y=5X^2'S Table

COMPARING Y=X^2 TO Y=5X^2's graph

What happens when "a" values gets more negitive?

COMPARING TO Y=X^2 TO Y=-5X^2

• graph gets steeper but the u-shape is on the opposite side (the bottom)
• the table the first equation only has positive values and zero while the second equations has negitive and zero

COMPARING TO Y=X^2 TO Y=-5X^2's table

COMPARING TO Y=X^2 TO Y=-5X^2's graph

what happens when "a" values are between 0 and 1?

COMPARING Y=X^2 TO Y=(1/2)X^2

• it gets farther from the first equation it doesnt get steeper like the others
• the table the numbers for the y=(1/2)^2 would be smaller than y=x^2

COMPARING Y=X^2 TO Y=(1/2)X^2's table

COMPARING Y=X^2 TO Y=(1/2)X^2's graph

what happens when "a" values more positives?

COMPARING Y=X^3 TO Y=5X^3

• it would get steeper(tighter) on the graph
• the numbers would get bigger on the table

COMPARING Y=X^3 TO Y=5X^3's table

COMPARING Y=X^3 TO Y=5X^3's graph

what happens when "a" values gets more negitive?

comparing y=x^3 to y=-5x^3

• the graph gets more steeper and goes the opposite way of y=x^3
• the table shows that both has both positive and negitive values and 0

comparing y=x^3 to y=-5x^3's table

comparing y=x^3 to y=-5x^3's graph

what happens when "a" values are between 1 and 0?

COMPARING Y=X^3 TO Y=(1/2)^3

• it would be farther from y=x^3 on the graph
• the numbers woukd be smaller on the table

COMPARING Y=X^3 TO Y=(1/2)^3's table

COMPARING Y=X^3 TO Y=(1/2)^3's graph