# maths

posted by .

Find parametric equations of the line that is tangent to the parabola y = x^2 at the point (−2, 4).

• maths -

dy/dx = 2x
so at (-2,4) slope is -4

y-4 = -4(x+2)
y-4 = -4x - 8 = k

-4x-8 = k
-4x = k + 8

x = -2 - k/4
y = 4 + k

Parametric equations for linear function ??
Why not just
y = -4x -4 ??

## Similar Questions

1. ### Calc 3

Find the parametric equations for the tangent line to the curve with the given parametric equations at specified point. x= e^t y=te^t z=te^(t^2) (1,0,0)
2. ### Calc 3

Find the parametric equations for the tangent line to the curve with the given parametric equations at specified point. x= e^t y=te^t z=te^(t^2) (1,0,0)
3. ### Calc 3

Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x^2 + y^2 and the ellipsoid 6x^2 + 5y^2 + 7z^2 = 39 at the point (−1, 1, 2)
4. ### calculusiii

he paraboloid z = 4 − x − x2 − 2y2 intersects the plane x = 4 in a parabola. Find parametric equations in terms of t for the tangent line to this parabola at the point (4, 2, −24). (Enter your answer as a comma-separated …
5. ### Calculus

Sketch a graph of the parabola y=x^2+3. On the same graph, plot the point (0,−6). Note there are two tangent lines of y=x2+3 that pass through the point (0,−6). The tangent line of the parabola y=x^2+3 at the point (a,a^2+3) …
6. ### calc 3

Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 7x2 + 2y2 + 6z2 = 33 at the point (−1, 1, 2). (Enter your answer as a comma-separated list of equations. …
7. ### Math

The parametric equations for a line L1 are as follows: x = 2+2t y = 2+2t z = −3+2t Let L2 be the line parallel to L1 and passing through the point (1, −4, −3). Find the point P on L2 whose x-coordinate is −4. …
8. ### linear algebra

Let L be the line with parametric equations x = −5+2t y = −7−3t z = 9−2t Find the vector equation for a line that passes through the point P=(7, 3, −5) and intersects L at a point that is distance 5 from …
9. ### vectors linear algebra

The parametric equations for a line L1 are as follows: x = −4−6t y = 2+2t z = 1−4t Let L2 be the line parallel to L1 and passing through the point (−3, −3, −3). Find the point P on L2 whose x-coordinate …
10. ### Calculus

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 5 ln t, y = 8sqrt(t), z = t^5 (0,8,1) (x(t),y(t),z(t))=( )

More Similar Questions