Subjects algebra

Axis Symmetry 6Fe8Db

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1. The problem asks to state the equation of the axis of symmetry for each function, if it exists. 2. The axis of symmetry is a vertical line that divides the graph of a function into two mirror images. For quadratic functions of the form $f(x) = ax^2 + bx + c$, the axis of symmetry is given by the formula: $$x = -\frac{b}{2a}$$ 3. For the function $f(x) = 1 - 3x$, this is a linear function, not quadratic, so it does not have an axis of symmetry. 4. For the function $f(x) = x^2 + 2$, this is a quadratic function with $a=1$, $b=0$, and $c=2$. Using the formula: $$x = -\frac{0}{2 \times 1} = 0$$ So the axis of symmetry is the vertical line $x=0$. Final answers: - For $f(x) = 1 - 3x$: No axis of symmetry. - For $f(x) = x^2 + 2$: Axis of symmetry is $x=0$.