Mathematics: Select an equation of a parabola that has a vertex at (2,-1) and a zero at x=3 . A. y=x² -4x+ 5 B. y=x² -4x + 3 C. y=x² + 4x -21 D. y=x² + 4x +3

Move the 5 to the other side:Divide both sides by 2:Recall the definition:Invert both sidesThis is true whenIf you need both angles to be in [0,2pi], you can recallSo, the solutions are...

Select an equation of a parabola that has a vertex

Ответ:

charlesmb7985

17.01.2023

Mathematics

Move the 5 to the other side:

$2\sec(x)=1-5=-4$

Divide both sides by 2:

$\sec(x) = -2$

Recall the definition:

$\sec(x)=-2 \iff \dfrac{1}{\cos(x)}=-2$

Invert both sides

$\cos(x) = -\dfrac{1}{2}$

This is true when

$x=\pm \dfrac{\pi}{3}$

If you need both angles to be in [0,2pi], you can recall

$\cos\left(-\dfrac{\pi}{3}\right) = \cos\left(-\dfrac{\pi}{3}+2\pi\right) = \cos\left(\dfrac{5\pi}{3}\right)$

So, the solutions are

$x=\dfrac{\pi}{3},\quad x=\dfrac{5\pi}{3}$

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Select an equation of a parabola that has a vertex at (2,-1) and a zero at x=3 . A. y=x² -4x+ 5
B. y=x² -4x + 3
C. y=x² + 4x -21
D. y=x² + 4x +3

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