The diagram shows the graph of $y={{x}^{2}}+x-6$. The graph cuts the $x$-axis at points $A$ an

Question

The diagram shows the graph of $y={{x}^{2}}+x-6$. The graph cuts the $x$-axis at points $A$ and $B$, and the $y$-axis at $C$. Find the coordinates of $A$, $B$ and $C$. The point $D\left( -5,h \right)$ lies on the curve. Find the value of $h$. The equation of the line of symmetry.

Accepted Answer

(a) $A=(-3,0)$, $B=(2,0)$, $C=(0,-6)$ (b) $h=14$ (c) $x=-\frac12$

Quadratic Graph: Intercepts and Symmetry

Quadratic Graph: Intercepts and Symmetry

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