<span>Find the focus and directrix of the parabola with the given equation. Then graph the parabola.
y^=-12x
**
y^2=-12x
This is an equation of a parabola with a horizontal axis of symmetry.
Its standard form: (y-k)^2=4p(x-h), with (h,k) being the (x,y) coordinates of the vertex.
For given equation:
Vertex(0,0)
4p=12
p=3
Focus:(-3,0)
Directrix: x=3
see the graph below as a visual check on the answers:
..
y=±(-12x)^.5</span>
Answer:
-36 = k
Step-by-step explanation:
-3 = k/12
Multiply each side by 12
-3*12 = k/12 *12
-36 = k
Hello here is a solution :
<span>2<span>(<span>y−<span>3<span>(<span>y−5</span>)</span></span></span>)</span></span><span>=<span><span>(2)</span><span>(<span>y+<span><span>−<span>3y</span></span>+15</span></span>)</span></span></span><span>=<span><span><span>(2)</span><span>(y)</span></span>+<span><span>(2)</span><span>(<span><span>−<span>3y</span></span>+15</span>)</span></span></span></span><span>=<span><span><span>2y</span>−<span>6y</span></span>+30</span></span><span>=<span><span>−<span>4y</span></span>+<span>30</span></span></span>
Given a line with endpoints
and
, the <span>coordinates of the point that divides the line segment directed from A to B in the ratio of m : n is given by</span>
Given that l<span>ine
segment AB has endpoints A(7.5, 4.2) and B(2.3, 5.4). the
coordinates of the point that divides the line segment directed from A
to B in the ratio of 1 : 3 is given by
</span>
