Let $$ f(x)=3 x^{2}+x-2 $$ be a quadratic function. (i) By completing the square, express $$ f(x) $$ in terms of $$ a(x+p)^{2}+q $$, wher (ii) State the maximum or minimum point of the function $$ f(x) $$. [4 Marks] (4 Marks] Sketch the eraph of the function $$ f(x) $$

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(i) $$ f(x) = 3\left(x + \frac{1}{6}\right)^2 - \frac{25}{12} $$ (ii) The minimum point is $$ \left(-\frac{1}{6}, -\frac{25}{12}\right) $$ (iii) The y-intercept is $$ (0, -2) $$, x-intercepts are $$ \left(-1, 0\right) $$ and $$ \left(\frac{2}{3}, 0\right) $$

Let \( f(x)=3 x^{2}+x-2 \) be a quadratic function. (i) By completing the square, express \( f(x) \) in terms of \( a(x+p)^{2}+q \), wher (ii) State the maximum or minimum point of the function \( f(x) \). [4 Marks] (4 Marks] Sketch the eraph of the function \( f(x) \)

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Let \( f(x)=3 x^{2}+x-2 \) be a quadratic function. (i) By completing the square, express \( f(x) \) in terms of \( a(x+p)^{2}+q \), wher (ii) State the maximum or minimum point of the function \( f(x) \). [4 Marks] (4 Marks] Sketch the eraph of the function \( f(x) \)

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