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Find the equation of the axis symmetry:Find the x-intercept(s):and y-intercept(s):Find the coordinates of the vertex:

Find The Equation Of The Axis SymmetryFind The Xinterceptsand YinterceptsFind The Coordinates Of The Vertex class=

Sagot :

Step 1

Find the equation of the axis of symmetry

[tex]\begin{gathered} From\text{ the graph the zeroes are} \\ x=-2 \\ \text{and} \\ x=4 \end{gathered}[/tex][tex]\begin{gathered} \text{Hence the function is } \\ y=(x+2)(x-4) \\ y=x^2-4x+2x-8 \\ y=x^2-2x-8 \end{gathered}[/tex]

The equation of symmetry is given as

[tex]\begin{gathered} x=\frac{-b}{2a} \\ b=-2 \\ a=1 \\ c=-8 \end{gathered}[/tex][tex]\begin{gathered} x=\frac{-(-2)}{2(1)} \\ x=\frac{2}{2}=1 \\ x=1 \end{gathered}[/tex]

Step 2

Find the x-intercepts

[tex]\begin{gathered} \text{From the graph, the x-intercepts are}; \\ (4,0),(-2,0) \end{gathered}[/tex]

Step 3

Find the y-intercepts

[tex]y\text{-intercept; (0,-8)}[/tex]

Step 4

Find the coordinates of the vertex

[tex]The\text{ coordinates of the Vertex ; (1,-9)}[/tex]

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