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.