Describe the change in the graph of the parabola f(x) when it transforms into g(x) = −3f(x).
a.)the parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
b.)the parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
c.)the parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
d.)the parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

a.)the parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).

step-by-step explanation:

the negative sign means we reflect it across the x axis, which means it will be upside down

the 3 makes the graph grow 3 times as fast, so it will be skinnier

geometry: triangles

solvers

lessons

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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