Examples with solutions for Parabola of the Form y=(x-p)²: Finding Increasing or Decreasing Domains

Exercise #1

Find the ascending area of the function

y=(x3)2 y=(x-3)^2

Video Solution

Answer

3 < x

Exercise #2

Find the descending area of the function

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

Video Solution

Answer

x < -4

Exercise #3

Find the descending area of the function

y=(x5)2 y=(x-5)^2

Video Solution

Answer

x < 5

Exercise #4

Find the descending area of the function

y=(x+5)2 y=(x+5)^2

Video Solution

Answer

x < -5

Exercise #5

Find the ascending area of the function

y=(x+3)2+2x2 y=(x+3)^2+2x^2

Video Solution

Answer

-1 < x

Exercise #6

Find the ascending area of the function

y=(x+3)2 y=-(x+3)^2

Video Solution

Answer

x<-3

Exercise #7

Find the ascending area of the function

y=(2x+6)2 y=-(2x+6)^2

Video Solution

Answer

-3 > x

Exercise #8

Find the positive area of the function

y4=(x3)2 y-4=-(x-3)^2

Video Solution

Answer

1 < x < 5

Exercise #9

Find the ascending area of the function

y=(x6)2 y=-(x-6)^2

Video Solution

Answer

x < 6

Exercise #10

Find the descending area of the function

y=(x+5)2+2x y=(x+5)^2+2x

Video Solution

Answer

x < -6