Find the Constant Term c in y = -5x² + 4x - 3: Coefficient Analysis

To solve this problem, we'll follow these steps:

• Identify the given quadratic equation.
• Compare the given equation with the standard quadratic form $ax^2 + bx + c$.
• Determine the value of $c$ by direct comparison.

Now, let's work through each step:
Step 1: The given quadratic equation is $y = -5x^2 + 4x - 3$.
Step 2: The standard form of a quadratic equation is $ax^2 + bx + c$. We need to match the coefficients accordingly.
Step 3: By comparing the terms from the equation with the standard form, $a$ is the coefficient of $x^2$, $b$ is the coefficient of $x$, and $c$ is the constant term or the independent number.

Therefore, from the equation $y = -5x^2 + 4x - 3$:

• $a = -5$
• $b = 4$
• $c = -3$

Thus, the value of $c$ in the quadratic equation is $c = -3$.