2 years ago

Describe the change in the graph of the parabola f(x) when it transforms into g(x) =

Mathematics

1 answer:

saw5 [17]2 years ago

8 0

Answer:

(d) The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

We assume you intend ...

f(x) = equation of a parabola

g(x) = 2/3·f(x)

Multiplying a function by a factor of 2/3 will cause it to be compressed vertically to 2/3 of its original height. When the function is a parabola, this has the effect of making it appear wider than before the compression.

The compression factor is positive, so points on the graph remain on the same side of the x-axis. The direction in which the graph opens is not changed.

The attachment shows parabolas that open upward and downward, along with the transformed version.

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A post 47m high is supported by wires attached to its top and to a point on level ground, 18m from the foot of the post. Find th

spayn [35]

We need to use the pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs, and c is the hypotenuse

47^2 + 18^2 = c^2

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c = 50.33

The length of the wire is 50.33 meters.

(See attached image.)