2 years ago

Graph each function. How is each graph a translation of f(x) = x 2 ? y = x 2 - 5

Mathematics

1 answer:

Shkiper50 [21]2 years ago

3 0

UM i need more details sorry but i dont know it
Ur welcome
A friend trying to help

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Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.

Brilliant_brown [7]

$\text{Use:}(*)\ (a+b)^2=a^2+2ab+b^2\\\\2x^2+2x+1=0\ \ \ \ |:2\\\\x^2+x+0.5=0\\\\x^2+2\cdot x\cdot0.5+0.5=0\\\\\underbrace{x^2+2\cdot x\cdot0.5+0.5^2}_{(*)}-0.5^2+0.5=0\\\\(x+0.5)^2-0.25+0.5=0\\\\(x+0.5)^2+0.25=0\ \ \ \ |-0.25\\\\(x+0.5)^2=-0.25\to D)$

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