Problem 1 - Algebra 1: Concepts and Skills

Question

Identify the values of \(a, b,\) and \(c\) for the quadratic function in standard form \(y=-5 x^{2}+7 x-4\)

Step-by-Step Solution

Answer

The values of \(a\), \(b\), and \(c\) are as follows: \(a = -5\), \(b = 7\), \(c = -4\).

Step 1: Identify the value of \(a\)

The value of \(a\) is the coefficient of \(x^2\). Looking at the given equation \(y = -5x^2 + 7x - 4\), we can clearly see that \(a = -5\).

Step 2: Identify the value of \(b\)

The value of \(b\) is the coefficient of \(x\). In the equation \(y = -5x^2 + 7x - 4\), \(b = 7\).

Step 3: Identify the value of \(c\)

\(c\) is the constant term of the equation. In \(y = -5x^2 + 7x - 4\), \(c = -4\).