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Year 9 Maths Introduction to Quadratic Equations and Graphs

Sketching Parabolas Using Intercept Form

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Question 1
43017

The coordinates of the \(x\)-intercepts of a parabola are \((-2,0)\) and \((4,0)\). What is the equation of the axis of symmetry?

\(x=1\)

The axis of symmetry lies on the mid point of \((-2,0)\) and \((4,0)\).
$$
\begin{aligned}
\therefore x_1&=\frac{-2+4}{2}\\
&=1\\
&\\
y_1&=\frac{0+0}{2}\\
&=0
\end{aligned}
$$

\(\therefore\) The axis of symmetry is \(x=1\).

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