The equation of the parabola is:

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The <em>equation </em>of a parabola of vertex (h,k) and focus (0,f) is given by:

- Vertex at the origin means that
. - Focus (0,6) means that

Thus, the equation of the parabola is:



A similar problem is given at brainly.com/question/15165354
Answer:
16 cm^2
Step-by-step explanation:
Formula = 1/2 * base * height
1/2 * 8 * 4 = 16
16 cm^2
Slope = (-8 - 4)/(-4 -0) = -12/-4 = 3
y-intercept so b = 4
equation: y = 3x + 4
answer: <span>C. y = 3x + 4</span>
7.5cm
lets take point K represent lenght from M to perimeter of circle.
r is radius
KM= r-OM= r-4.5cm
now lets draw line from O to A (OA)
we get triangle.
hypotenuse is OA and it equals r(radius)
ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)
use pythaghorean theorem
squares of sides added = square of hypotenuse
20.25+36=r^2(our hypotenuse is radius)
56.25=r^2
r=√56.25=7.5cm