Evaluate Algebraic Expressions with Given Parameters: a = -3, b = 3, c = 7

Question

Choose the correct algebraic expression based on the parameters:

a=−3,b=3,c=7 a=-3,b=3,c=7

Video Solution

Solution Steps

00:00 Convert the parameters to a quadratic function
00:03 We'll use the formula to represent a quadratic equation
00:11 We'll connect each parameter to its corresponding unknown according to the formula
00:33 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will substitute the given values into the standard quadratic form:

  • Step 1: Identify the formula to use. We need the standard form of a quadratic function, which is y=ax2+bx+c y = ax^2 + bx + c .
  • Step 2: Substitute the given parameters into the formula:
    a=−3 a = -3 , b=3 b = 3 , and c=7 c = 7 .
  • Step 3: Perform the substitution:
    Substituting in, we get y=−3x2+3x+7 y = -3x^2 + 3x + 7 .

Therefore, the correct algebraic expression is −3x2+3x+7 -3x^2 + 3x + 7 .

This corresponds to choice 2 of the multiple-choice options provided.

Answer

−3x2+3x+7 -3x^2+3x+7

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