Question

what is the y-intercept of the equation $y = 3x^2 - 6x + 9$?

a. 9
b. -6
c. 6
d. 3

Explanation:

Step1: Recall y-intercept definition

The y-intercept occurs at $x=0$.

Step2: Substitute $x=0$ into equation

$$y = 3(0)^2 - 6(0) + 9$$

Step3: Simplify to find y-value

$$y = 0 - 0 + 9 = 9$$

Answer:

a. 9