Identify Coefficients in y=-5+x²: Term-by-Term Analysis

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

• Step 1: Express the equation in a standard quadratic form $y = ax^2 + bx + c$
• Step 2: Identify the coefficients $a$, $b$, and the constant term $c$ by comparing the forms
• Step 3: Select the corresponding answer choice based on the comparison

Now, let's work through each step:

Step 1: The given equation is $y = -5 + x^2$. We can rewrite this as $y = x^2 + 0x - 5$ to match the standard quadratic form $y = ax^2 + bx + c$.

Step 2: By comparing $y = x^2 + 0x - 5$ directly with $y = ax^2 + bx + c$, we can identify:

• The coefficient of $x^2$ is $a = 1$.
• The coefficient of $x$ is $b = 0$.
• The constant term is $c = -5$.

Step 3: Among the provided answer choices, we find that the parameters $a = 1$, $b = 0$, and $c = -5$ match the choice:

$a = 1, b = 0, c = -5$

Therefore, the solution to the problem is $a = 1, b = 0, c = -5$.