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Semmy [17]
2 years ago
12

What is the vertex of the graph of the function below? y = x2 + 8x + 12

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
5 0
Hello, 

The\,\,formula\,\,for\,\,the\,\,vertex\,\,of\,\,a\,\,quadratic\,\,equation\,\,is:  \\  V=( -\frac{b}{2a},f(-\frac{b}{2a}) )

That means that we must first obtain x, then we replace x in the function to get y, so:

x=- \frac{b}{2a}  \\  \\ x=- \frac{8}{2*(1)}  \\  \\ \boxed{x=-4} \\  \\ Reeplacing \,\,x: \\ y=(-4)^{2} +8*(-4)+12 \\ y=16-32+12 \\ \boxed{y=-4}

Answer: V=(-4 , -4)
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