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

Question 1

Find the ascending area of the function

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

Question 2

Find the descending area of the function

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

Question 3

Find the descending area of the function

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

Question 4

Find the descending area of the function

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

Question 5

Find the ascending area of the function

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

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

$y=(x-3)^2$

Video Solution

Answer

$3 < x$

Exercise #2

Find the descending area of the function

$y=(x+4)^2$

Video Solution

Answer

$x < -4$

Exercise #3

Find the descending area of the function

$y=(x+5)^2$

Video Solution

Answer

$x < -5$

Exercise #4

Find the descending area of the function

$y=(x-5)^2$

Video Solution

Answer

$x < 5$

Exercise #5

Find the ascending area of the function

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

Video Solution

Answer

$-3 > x$

Question 1

Find the ascending area of the function

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

Question 2

Find the ascending area of the function

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

Question 3

Find the ascending area of the function

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

Question 4

Find the descending area of the function

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

Question 5

Find the positive area of the function

$$ y-4=-(x-3)^2 $$

Exercise #6

Find the ascending area of the function

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

Video Solution

Answer

$-1 < x$

Exercise #7

Find the ascending area of the function

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

Video Solution

Answer

$x<-3$

Exercise #8

Find the ascending area of the function

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

Video Solution

Answer

$x < 6$

Exercise #9

Find the descending area of the function

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

Video Solution

Answer

$x < -6$

Exercise #10

Find the positive area of the function

$y-4=-(x-3)^2$

Video Solution

Answer

$1 < x < 5$