### Quadratic Graphs using x and y axis − 1

Quadratic graphs of the form x^{2} + bx + c can be drawn by working out where the graph crosses the:

- Y axis − at the number term c in the equation x
^{2}+ bx + c - X axis − by first solving the quadratic so that x
^{2}+ bx + c = 0. Refer to

Solve Quadratics by Factorising - 1

- Example 1. Draw the graph y = x
^{2}+ 7x + 6 - Example 2. Draw the graph y = x
^{2}− 11x + 30

**(a)** The graph crosses the y axis at the number term c which is 6. When x = 0 then y = 6. The coordinate is (0, 6)

**(b)** The graph crosses the x axis where x^{2} + 7x + 6 = 0. Refer to example 1 of Solve Quadratics by Factorising - 1. So y = 0 when x = −6 or −1. The coordinates are (−6, 0) and (−1, 0)

**(c)** Draw the graph using the above coordinates

**(a)** The graph crosses the y axis at the number term c which is 30. When x = 0 then y = 30. The coordinate is (0, 30)

**(b)** The graph crosses the x axis where x^{2} − 11x + 30 = 0. Refer to example 2 of Solve Quadratics by Factorising - 1. So y = 0 when x = 5 or 6. The coordinates are (5, 0) and (6, 0)

**(c)** Draw the graph using the above coordinates

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