F(x)=x^2-10x+44 complete the square
1 answer:
We have that
F(x)=x²<span>-10x+44
</span><span>Group terms that contain the same variable
</span>f(x)=(x²-10x)+44
<span>Complete the square Remember to balance the equation
</span>f(x)=(x²-10x+25-25)+44
F(x)=x²<span>-10x+44
</span><span>Group terms that contain the same variable
</span>f(x)=(x²-10x)+44
<span>Complete the square Remember to balance the equation
</span>f(x)=(x²-10x+25-25)+44
Rewrite as perfect squares
f(x)=(x-5)²-25+44
f(x)=(x-5)²+19
this is the equation of a vertical parabola with vertex (5,19)
see the attached figure
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