Create an algebraic expression based on the following parameters:
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Create an algebraic expression based on the following parameters:
To solve this problem, we will follow these steps:
Now, let's work through each step:
Step 1: We have the parameters , , .
Step 2: The standard form of a quadratic equation is .
Step 3: Substituting the given values into the expression, we get:
Therefore, the algebraic expression based on the given parameters is:
.
Identify the coefficients based on the following equation
\( y=x^2 \)
Standard form means writing the expression as where a, b, and c are specific numbers. The x² term comes first, then x term, then the constant.
Yes! Even if a coefficient is given, you must include its corresponding term. With a=3, b=6, c=9, you need all three parts: the x² term, x term, and constant term.
If a coefficient is zero, that term disappears from the expression. For example, if b=0, you'd get . But in this problem, all coefficients are non-zero.
No! Standard form has a specific order: x² term first, then x term, then constant. This order makes it easy to identify the coefficients and work with the expression.
Think alphabetically: a goes with x², b goes with x, c is the constant (no variable). Follow the pattern: .
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