Standard representation - Examples, Exercises and Solutions

Standard Form of the Quadratic Function

The standard form of the quadratic function is:
Y=ax2+bx+cY=ax^2+bx+c

For example:
Y=4x2+3x+15Y=4x^2+3x+15

Practice Standard representation

Exercise #1

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 #2

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 #3

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 #4

Create an algebraic expression based on the following parameters:

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

Video Solution

Answer

3x23 3x^2-3

Exercise #5

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 #1

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 #2

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

Exercise #3

Create an algebraic expression based on the following parameters:

a=4,b=16,c=0 a=4,b=-16,c=0

Video Solution

Answer

4x216x 4x^2-16x

Exercise #4

Create an algebraic expression based on the following parameters:

a=4,b=2,c=5 a=4,b=2,c=5

Video Solution

Answer

4x2+2x+5 4x^2+2x+5

Exercise #5

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+3x4 5x^2+3x-4

Exercise #1

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 #2

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}

Exercise #3

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

Exercise #4

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 #5

Create an algebraic expression based on the following parameters:

a=1,b=1,c=3 a=1,b=-1,c=3

Video Solution

Answer

x2x+3 x^2-x+3

Topics learned in later sections

  1. Factored form of the quadratic function
  2. Ways to represent a quadratic function
  3. Vertex form of the quadratic equation