Sketch the graph of $y=-{{(x-1)}^{2}}+3$ Indicate clearly the values where the graph crosses the i

Question

Sketch the graph of $y=-{{(x-1)}^{2}}+3$ Indicate clearly the values where the graph crosses the intercepts and coordinates of the turning point clearly. Write down the coordinates of the turning point of $y=-{{(x-1)}^{2}}+3$.

Accepted Answer

(i) Turning point: $(1,3)$; $y$-intercept: $(0,2)$; $x$-intercepts: $(1-\sqrt3,0)$ and $(1+\sqrt3,0)$. (ii) $(1,3)$.

Sketching a Quadratic Graph and Identifying Its Turning Point and Intercepts

Sketching a Quadratic Graph and Identifying Its Turning Point and Intercepts

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