Parabola of the Form y=x²+c: Identify positive and negative domains on a graph

Linking function properties to its representationFinding Increasing or Decreasing DomainsMatch functions to the appropriate graphsFinding points on the graph of a function
Question 1

Find the negative area of the function

\( f(x)=-x^2 \)

Question 2

Find the positive area of the function

\( f(x)=x^2 \)

Question 3

Find the negative area of the function

\( f(x)=x^2-16 \)

Question 4

Find the negative area of the function

\( f(x)=x^2-4 \)

Question 5

Find the positive area of the function
\( f(x)=-x^2+9 \)

Examples with solutions for Parabola of the Form y=x²+c: Identify positive and negative domains on a graph

Exercise #1

Find the negative area of the function

f(x)=−x2 f(x)=-x^2

Video Solution

Answer

x≠0

Exercise #2

Find the positive area of the function

f(x)=x2 f(x)=x^2

Video Solution

Answer

x≠0 x≠0

Exercise #3

Find the negative area of the function

f(x)=x2−16 f(x)=x^2-16

Video Solution

Answer

-4 < x < 4

Exercise #4

Find the negative area of the function

f(x)=x2−4 f(x)=x^2-4

Video Solution

Answer

-2 < x < 2

Exercise #5

Find the positive area of the function
f(x)=−x2+9 f(x)=-x^2+9

Video Solution

Answer

-3 < x < 3

Question 1

Find the positive area of the function

\( f(x)=2x^2-50 \)

Question 2

Find the positive area of the function

\( f(x)=x^2-4 \)

Question 3

Find the negative area of the function

\( f(x)=x^2+16 \)

Exercise #6

Find the positive area of the function

f(x)=2x2−50 f(x)=2x^2-50

Video Solution

Answer

x < -5 o 5 < x

Exercise #7

Find the positive area of the function

f(x)=x2−4 f(x)=x^2-4

Video Solution

Answer

x<-2\text{ } o 2 < x

Exercise #8

Find the negative area of the function

f(x)=x2+16 f(x)=x^2+16

Video Solution

Answer

Always positive