3 years ago

What are axioms in algebra called in geometry?

Mathematics

1 answer:

Hatshy [7]3 years ago

3 0

In geometry, axioms are actually called Postulates and their creation is called postulation.

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The axis of symmetry of a quadratic function $f(x)=ax^2+bx+c$ is given by the equation $x=h$ , where h is the x-coordinate of the vertex and is equal to $\frac{-b}{2a}$ .

1.
$f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
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2.
$g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
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3.
$h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2$

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).

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