Create an algebraic expression based on the following parameters:
We have hundreds of course questions with personalized recommendations + Account 100% premium
Create an algebraic expression based on the following parameters:
To solve this problem, we will create an algebraic expression by following these steps:
Let's apply these steps:
Step 1: The standard quadratic function format is given as .
Step 2: Substitute the given values:
Step 3: Simplify the expression by removing the zero term (as and it has no impact on the expression):
This simplified expression is the required algebraic representation based on the given parameters.
Therefore, the correct algebraic expression for the parameters , , and is .
What is the value of the coefficient \( b \) in the equation below?
\( 3x^2+8x-5 \)
Adding zero to any expression doesn't change its value. So simplifies to for a cleaner final answer.
Then you'd keep the constant term! For example, if c=5, your expression would be . Only remove terms that equal zero.
Mathematically no, but standard form arranges terms by decreasing powers: x² term first, then x term, then constant. This makes expressions easier to read and compare.
In :
A negative coefficient for x² means the parabola opens downward when graphed. The negative sign is crucial - don't drop it during substitution!
Get unlimited access to all 18 The Quadratic Function questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime