Plotting Functions with Parameters: Determine the algebraic representation of the following descriptions

Identifying and defining elementsLinking function properties to its representationMatching parameters
Question 1

Create an algebraic expression based on the following parameters:

\( a=-1,b=-1,c=-1 \)

Question 2

Create an algebraic expression based on the following parameters:

\( a=3,b=0,c=-3 \)

Question 3

Create an algebraic expression based on the following parameters:


\( a=1,b=-1,c=1 \)

Question 4

Create an algebraic expression based on the following parameters:


\( a=-1,b=-8,c=0 \)

Question 5

Create an algebraic expression based on the following parameters:

\( a=3,b=0,c=0 \)

Examples with solutions for Plotting Functions with Parameters: Determine the algebraic representation of the following descriptions

Exercise #1

Create an algebraic expression based on the following parameters:

a=−1,b=−1,c=−1 a=-1,b=-1,c=-1

Video Solution

Answer

−x2−x−1 -x^2-x-1

Exercise #2

Create an algebraic expression based on the following parameters:

a=3,b=0,c=−3 a=3,b=0,c=-3

Video Solution

Answer

3x2−3 3x^2-3

Exercise #3

Create an algebraic expression based on the following parameters:


a=1,b=−1,c=1 a=1,b=-1,c=1

Video Solution

Answer

x2−x+1 x^2-x+1

Exercise #4

Create an algebraic expression based on the following parameters:


a=−1,b=−8,c=0 a=-1,b=-8,c=0

Video Solution

Answer

−x2−8x -x^2-8x

Exercise #5

Create an algebraic expression based on the following parameters:

a=3,b=0,c=0 a=3,b=0,c=0

Video Solution

Answer

3x2 3x^2

Question 1

Create an algebraic expression based on the following parameters:

\( a=2,b=4,c=8 \)

Question 2

Create an algebraic expression based on the following parameters:

\( a=2,b=\frac{1}{2},c=4 \)

Question 3

Create an algebraic expression based on the following parameters:

\( a=4,b=-16,c=0 \)

Question 4

Create an algebraic expression based on the following parameters:

\( a=-1,b=1,c=0 \)

Question 5

Create an algebraic expression based on the following parameters:

\( a=0,b=1,c=0 \)

Exercise #6

Create an algebraic expression based on the following parameters:

a=2,b=4,c=8 a=2,b=4,c=8

Video Solution

Answer

2x2+4x+8 2x^2+4x+8

Exercise #7

Create an algebraic expression based on the following parameters:

a=2,b=12,c=4 a=2,b=\frac{1}{2},c=4

Video Solution

Answer

2x2+12x+4 2x^2+\frac{1}{2}x+4

Exercise #8

Create an algebraic expression based on the following parameters:

a=4,b=−16,c=0 a=4,b=-16,c=0

Video Solution

Answer

4x2−16x 4x^2-16x

Exercise #9

Create an algebraic expression based on the following parameters:

a=−1,b=1,c=0 a=-1,b=1,c=0

Video Solution

Answer

−x2+x -x^2+x

Exercise #10

Create an algebraic expression based on the following parameters:

a=0,b=1,c=0 a=0,b=1,c=0

Video Solution

Answer

x x

Question 1

Create an algebraic expression based on the following parameters:

\( a=-1,b=0,c=0 \)

Question 2

Create an algebraic expression based on the following parameters:

\( a=3,b=6,c=9 \)

Question 3

Create an algebraic expression based on the following parameters:

\( a=2,b=0,c=6 \)

Question 4

Create an algebraic expression based on the following parameters:

\( a=2,b=0,c=4 \)

Question 5

Create an algebraic expression based on the following parameters:

\( a=1,b=16,c=64 \)

Exercise #11

Create an algebraic expression based on the following parameters:

a=−1,b=0,c=0 a=-1,b=0,c=0

Video Solution

Answer

−x2 -x^2

Exercise #12

Create an algebraic expression based on the following parameters:

a=3,b=6,c=9 a=3,b=6,c=9

Video Solution

Answer

3x2+6x+9 3x^2+6x+9

Exercise #13

Create an algebraic expression based on the following parameters:

a=2,b=0,c=6 a=2,b=0,c=6

Video Solution

Answer

2x2+6 2x^2+6

Exercise #14

Create an algebraic expression based on the following parameters:

a=2,b=0,c=4 a=2,b=0,c=4

Video Solution

Answer

2x2+4 2x^2+4

Exercise #15

Create an algebraic expression based on the following parameters:

a=1,b=16,c=64 a=1,b=16,c=64

Video Solution

Answer

x2+16x+64 x^2+16x+64

Question 1

Choose the correct algebraic expression based on the parameters:

\( a=-3,b=3,c=7 \)

Question 2

Create an algebraic expression based on the following parameters:

\( a=1,b=-1,c=3 \)

Question 3

Create an algebraic expression based on the following parameters:

\( a=1,b=2,c=0 \)

Question 4

Create an algebraic expression based on the following parameters:

\( a=5,b=3,c=-4 \)

Question 5

Create an algebraic expression based on the following parameters:

\( a=\frac{1}{2},b=\frac{1}{2},c=\frac{1}{2} \)

Exercise #16

Choose the correct algebraic expression based on the parameters:

a=−3,b=3,c=7 a=-3,b=3,c=7

Video Solution

Answer

−3x2+3x+7 -3x^2+3x+7

Exercise #17

Create an algebraic expression based on the following parameters:

a=1,b=−1,c=3 a=1,b=-1,c=3

Video Solution

Answer

x2−x+3 x^2-x+3

Exercise #18

Create an algebraic expression based on the following parameters:

a=1,b=2,c=0 a=1,b=2,c=0

Video Solution

Answer

x2+2x x^2+2x

Exercise #19

Create an algebraic expression based on the following parameters:

a=5,b=3,c=−4 a=5,b=3,c=-4

Video Solution

Answer

5x2+3x−4 5x^2+3x-4

Exercise #20

Create an algebraic expression based on the following parameters:

a=12,b=12,c=12 a=\frac{1}{2},b=\frac{1}{2},c=\frac{1}{2}

Video Solution

Answer

x22+x2+12 \frac{x^2}{2}+\frac{x}{2}+\frac{1}{2}