Parabola of the Form y=(x-p)²+k: Identify the positive and negative domain

Finding a stationary point Finding Increasing or Decreasing Domains Determine the algebraic representation of the following descriptions

Question 1

Find the negative area of the function

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

Question 2

Find the negative area of the function

$$ y=(x-1)^2-4 $$

Question 3

Find the positive area of the function

$$ y=(x-6)^2+4 $$

Question 4

Find the positive area of the function

$$ y=(x+5)^2-4 $$

Question 5

Find the positive area of the function

$$ y=(x-4)^2+1 $$

Examples with solutions for Parabola of the Form y=(x-p)²+k: Identify the positive and negative domain

Exercise #1

Find the negative area of the function

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

Video Solution

Answer

For all X

Exercise #2

Find the negative area of the function

$y=(x-1)^2-4$

Video Solution

Answer

$-1 < x < 3$

Exercise #3

Find the positive area of the function

$y=(x-6)^2+4$

Video Solution

Answer

For all X

Exercise #4

Find the positive area of the function

$y=(x+5)^2-4$

Video Solution

Answer

$x < -7 , -3 < x$

Exercise #5

Find the positive area of the function

$y=(x-4)^2+1$

Video Solution

Answer

For all X

Question 1

Find the negative area of the function

$$ y=-(x-4)^2+9 $$

Question 2

Find the negative area of the function

$$ y=(x+3)^2-36 $$

Question 3

Find the positive area of the function

$$ y=-(x-4)^2+1 $$

Question 4

Find the positive area of the function

$$ y=-(x+3)^2+25 $$

Exercise #6

Find the negative area of the function

$y=-(x-4)^2+9$

Video Solution

Answer

$x < 1 , 7 < x$

Exercise #7

Find the negative area of the function

$y=(x+3)^2-36$

Video Solution

Answer

$-9 < x < 3$

Exercise #8

Find the positive area of the function

$y=-(x-4)^2+1$

Video Solution

Answer

$3 < x < 5$

Exercise #9

Find the positive area of the function

$y=-(x+3)^2+25$

Video Solution

Answer

$-8 < x < 2$