Question

1. graph: $f(x) = 3x^2 + 5x - 2$

a. what is the axis of symmetry?

Explanation:

Step1: Recall axis of symmetry formula

For quadratic $f(x)=ax^2+bx+c$, axis is $x=-\frac{b}{2a}$.

Step2: Identify coefficients

$a=3$, $b=5$

Step3: Calculate axis of symmetry

$x=-\frac{5}{2\times3}=-\frac{5}{6}$

Answer:

$x=-\frac{5}{6}$