Question

how many real zeros does the following quadratic function have?

\\f(x) = x^2 - 4x + 9\\

remember the quadratic formula: \\x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\

• no real zeros
• one real zero
• two real zeros

Explanation:

Identify the coefficients of the quadratic function

Using the Standard Form of a Quadratic knowledge point

$$
LATEXBLOCK0
$$

Calculate the discriminant

Using the Discriminant Analysis knowledge point

$$
LATEXBLOCK1
$$

Determine the number of real zeros

Using the Number of Quadratic Solutions knowledge point

$$
LATEXBLOCK2
$$

Answer:

• no real zeros (Correct answer)
• one real zero
• two real zeros