Question

quadratic functions

which function is a quadratic function?

\\( y(x) = x^2 + 3x^5 + 4 \\)

\\( v(x) = 2x^2 + 8x^3 + 9x \\)

\\( u(x) = -x + 3x^2 - 8 \\)

\\( z(x) = 7x^2 + 2x^3 - 3 \\)

Explanation:

Define the standard form of a quadratic function

$$ f(x) = ax^2 + bx + c, \quad a eq 0 $$

Determine the degree of each given function

$$
LATEXBLOCK0
$$

Identify the quadratic function

$$ u(x) = 3x^2 - x - 8 $$

Answer:

• (A) \(y(x) = x^2 + 3x^5 + 4\)
• (B) \(v(x) = 2x^2 + 8x^3 + 9x\)
• (C) \(u(x) = -x + 3x^2 - 8\) (Correct answer)
• (D) \(z(x) = 7x^2 + 2x^3 - 3\)