Find the Missing Coefficient b in the Quadratic Equation y = 4x² - 16

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of$b$ in this quadratic equation:

$y=4x^2-16$

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

• Identify the given information and the standard quadratic form
• Compare the given equation to this standard form
• Extract the coefficients $a$, $b$, and $c$ and find $b$

Now, let's work through each step:
Step 1: The problem provides us with the equation $y = 4x^2 - 16$. It's already in a form where we can identify the coefficients.
Step 2: Recall the standard form of a quadratic equation is $ax^2 + bx + c$. Compare this form to the equation $y = 4x^2 - 16$.
Step 3: By comparison, the coefficient of $x^2$ (which is $a$) is 4. There is no $x$ term explicitly present, implying that $b = 0$. The constant $c$ is -16.
Therefore, after comparison and identification, it becomes clear that the value of $b$ in the equation is $b = 0$.