https://file.aiquickdraw.com/mathbot/file/172891905979809arsxwh.jpg

The question asks for the coefficients of the function \( f(x) = 5x^2 - 3x + 4 \).

The general form of a quadratic function is:
\[
f(x) = ax^2 + bx + c
\]
where:
- \( a \) is the coefficient of \( x^2 \),
- \( b \) is the coefficient of \( x \),
- \( c \) is the constant term.

For the given function \( f(x) = 5x^2 - 3x + 4 \):
- \( a = 5 \) (coefficient of \( x^2 \)),
- \( b = -3 \) (coefficient of \( x \)),
- \( c = 4 \) (constant term).

Now, looking at the options in the image:
- The correct answer is **d)** \( a = 5, b = -3, c = 4 \).

Would you like more details or explanations?

Here are 5 related questions to expand on this:
1. What is the role of the coefficient \( a \) in a quadratic function?
2. How does changing the value of \( b \) affect the graph of a quadratic function?
3. Can a quadratic function have a zero coefficient for \( b \)? What would that look like?
4. What does the constant \( c \) represent in the context of a graph?
5. How can we find the roots of a quadratic function given the coefficients?

**Tip:** The coefficient \( a \) determines the direction and width of the parabola, where a positive \( a \) opens upwards and a negative \( a \) opens downwards.

¿Cuáles son los coeficientes de la función f(x) = 5x^2 - 3x + 4?

Determine the coefficients a, b, and c for the quadratic function f(x) = 5x^2 - 3x + 4. This algebra problem involves identifying key components of a quadratic equation, suited for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation