Create an Algebraic Expression with Parameters: a=2, b=0, c=6

Create an algebraic expression based on the following parameters:

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

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert the parameters to a quadratic function
00:03 We'll use the formula to represent a quadratic equation
00:11 Connect the parameter to its corresponding variable according to the formula
00:33 Write the function in its reduced form
00:42 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Create an algebraic expression based on the following parameters:

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

2

Step-by-step solution

To solve this problem, we will construct an algebraic expression using the given parameters in a quadratic function format.

  • Step 1: Identify the formula required. The standard quadratic function is given by ax2+bx+c ax^2 + bx + c .
  • Step 2: Substitute the given values of a a , b b , and c c . We have a=2 a = 2 , b=0 b = 0 , and c=6 c = 6 .
  • Step 3: Insert these values into the formula: 2x2+0x+6 2x^2 + 0x + 6 .
  • Step 4: Simplify the expression. Since the coefficient of x x is zero, 0x 0x can be omitted. This simplifies the expression to 2x2+6 2x^2 + 6 .

The final algebraic expression, representing the given parameters in a quadratic form, is 2x2+6 2x^2 + 6 .

Therefore, the correct algebraic expression is 2x2+6 2x^2 + 6 .

3

Final Answer

2x2+6 2x^2+6

Practice Quiz

Test your knowledge with interactive questions

What is the value of the coefficient \( b \) in the equation below?

\( 3x^2+8x-5 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 The Quadratic Function questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations