Parabola of the Form y=x²+c: Finding Increasing or Decreasing Domains

Question 1

Find the ascending area of the function

$$ f(x)=2x^2 $$

Question 2

Find the descending area of the function

$f(x)=\frac{1}{2}x^2$

Question 3

Find the ascending area of the function

$$ f(x)=6x^2-12 $$

Question 4

Find the ascending area of the function

$$ f(x)=-3x^2+12 $$

Question 5

Find the ascending area of the function

$$ f(x)=-4x^2-24 $$

Examples with solutions for Parabola of the Form y=x²+c: Finding Increasing or Decreasing Domains

Exercise #1

Find the ascending area of the function

$f(x)=2x^2$

Video Solution

Answer

$0 < x$

Exercise #2

Find the descending area of the function

$f(x)=\frac{1}{2}x^2$

Video Solution

Answer

$x < 0$

Exercise #3

Find the ascending area of the function

$f(x)=6x^2-12$

Video Solution

Answer

$0 < x$

Exercise #4

Find the ascending area of the function

$f(x)=-3x^2+12$

Video Solution

Answer

$x < 0$

Exercise #5

Find the ascending area of the function

$f(x)=-4x^2-24$

Video Solution

Answer

$x < 0$

Question 1

Choose the increasing and decreasing domains of the following function:

$$ f(x)=-2x^2+10 $$

Question 2

What are the the increasing and decreasing domains of the function below?

$$ f(x)=5x^2-25 $$

Question 3

Find the descending area of the function

$$ f(x)=2x-x^2+1 $$

Exercise #6

Choose the increasing and decreasing domains of the following function:

$f(x)=-2x^2+10$

Video Solution

Answer

$0 < x$ decreasing

$x < 0$ increasing

Exercise #7

What are the the increasing and decreasing domains of the function below?

$f(x)=5x^2-25$

Video Solution

Answer

$x < 0$ decreasing

$0 < x$ increasing

Exercise #8

Find the descending area of the function

$f(x)=2x-x^2+1$

Video Solution

Answer

$1 < x$