The vertex of this parabola is at (-2, -3) when the y value is -5 and the x value is -1 what is the coefficient of the squared expression

a = - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h , k) = (- 2, - 3), hence

y = a(x + 2)² - 3

To find a substitute x = - 1, y = - 5 into the equation

- 5 = a - 3 ⇒ a = - 5 + 3 = - 2

The coefficient of the squared expression is - 2

step-by-step explanation:

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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