Find the Axis of Symmetry for the Quadratic Function: f(x) = x² + 4x

To solve this problem, we'll determine the axis of symmetry using the appropriate formula:

• Step 1: Identify the coefficients $a$, $b$, and $c$
• Step 2: Use the axis of symmetry formula
• Step 3: Substitute the values and solve

Now, let's work through each step:

Step 1: The quadratic function is $f(x) = x^2 + 4x$. Here, $a = 1$, $b = 4$, and $c = 0$.

Step 2: Use the axis of symmetry formula $x = -\frac{b}{2a}$.

Step 3: Substitute the values: $x = -\frac{4}{2 \times 1} = -\frac{4}{2} = -2$

Therefore, the axis of symmetry for the graph is $x = -2$.