Please... Describe the change in the graph of the parabola f(x) when it transforms into g(x) = one half f(x). The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x). The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x). The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x). The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

i dont know

step-by-step explanation:

umm. i dont know

can you complete your sentence? i could !

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: