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Use the zeros and the labels point to write the quadratic function represented by the graph.

Use The Zeros And The Labels Point To Write The Quadratic Function Represented By The Graph class=

Sagot :

zeros: (-1,0) and (2,0)

Use the zeros to write the factors of the function as follow:

zeros: (b,0) and (c,0)

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

Use the given oint (1,6) to find the value of a:

[tex]\begin{gathered} 6=a(1+1)(1-2) \\ 6=a(2)(-1) \\ 6=-2a \\ \frac{6}{-2}=a \\ \\ a=-3 \end{gathered}[/tex]

The function is:

[tex]y=-3(x+1)(x-2)[/tex]

Use FOIL method and distributive property to simplify:

[tex]\begin{gathered} y=-3(x*x-2*x+1*x-2*1) \\ y=-3(x^2-2x+x-2) \\ y=-3(x^2-x-2) \\ \\ y=-3x^2+3x+6 \end{gathered}[/tex]

Then, the function in the graph is y=-3x^+63x+6

Answer: D.

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