Construct an Algebraic Expression with Constants: a = -2, c = 3, 4

Question

Create an algebraic expression based on the following parameters:

a=2,c=3,c=4 a=-2,c=3,c=4

Video Solution

Solution Steps

00:00 Convert from parameters to quadratic function
00:03 Match between the parameter and the corresponding term
00:06 Write according to the quadratic function formula
00:09 And this is the solution to the question

Step-by-Step Solution

To solve this problem, follow these steps:

  • Step 1: Identify the given parameters from the problem statement. We have a=2 a = -2 , b=3 b = 3 , and c=4 c = 4 .
  • Step 2: Substitute these values into the standard quadratic formula y=ax2+bx+c y = ax^2 + bx + c .
  • Step 3: Write the algebraic expression using the substituted values.

Now let's execute these steps:

Step 1: We know a=2 a = -2 , b=3 b = 3 , and c=4 c = 4 .

Step 2: Substitute the values into the quadratic function:

y=(2)x2+(3)x+4 y = (-2)x^2 + (3)x + 4

Step 3: Simplify to present the function:

The algebraic expression is y=2x2+3x+4 y = -2x^2 + 3x + 4 .

Therefore, the solution to the problem is 2x2+3x+4 -2x^2 + 3x + 4 .

Answer

2x2+3x+4 -2x^2+3x+4