Which of the equations below could be the equation of this parabola?

Mathematics

1 answer:

BARSIC [14]3 years ago

7 0

Parabolas like $y=ax^2$ have the y-axis as their symmetry axis, so options B and D are surely wrong.

Moreover, parabolas like $x=ay^2$ have the x-axis as their symmetry axis. If $a>0$ the parabola is concave rightwards, if $a$ the parabola is concave leftwards.

Since your parabola is concave leftwards, the only feasible option is $x=-2y^2$

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kap26 [50]

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$L(t)=\begin{bmatrix}1\\1\end{bmatrix}+t\begin{bmatrix}2\\-3\end{bmatrix}$

$\mathbf v$ on its own points to the point (2, -3) and lies on the line through this point and the origin. We capture all points on this line by scaling $\mathbf v$ by $t$ . Then we add to $t\mathbf v$ another vector that points to P(1, 1), which shifts the endpoint of all vectors on the line $t\mathbf v$ to the line through P that runs parallel to $t\mathbf v$ .