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3 years ago

In the function f(x) is translated 3 units

Mathematics

2 answers:

expeople1 [14]3 years ago

3 0

<h3>Answer: Choice D. -f(x-3)</h3>

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Explanation:

Imagine that we're able to move the xy grid freely but keep the f(x) curve fixed in place. Now imagine that we move the xy grid 3 units to the left. This would give the illusion the f(x) curve moves 3 units to the right.

If we replace each input x with x-3, then that will effectively move the xy grid 3 units to the left. So that's why f(x-3) is a translation of 3 units to the right.

The negative out front will reflect the curve over the x axis. Points of the form (x,y) become (x,-y). For example, if (1,2) is on the curve then (1,-2) is on the reflected curve.

Putting this all together and it leads us to -f(x-3) which is choice D.

mario62 [17]3 years ago

3 0

X-3 is the correct answers

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3 years ago

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Softa [21]

Answer:

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The leading coefficient is 8.

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Step-by-step explanation:

Placing in standard form:

To place in standard form, we solve the operations. So

$h(x) = (2x+1)^2(2x-3)$

$h(x) = (4x^2 + 4x + 1)(2x - 3)$

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The degree is given by the highest power of x, which, in this exercise, is 3.

Leading coefficient:

The leading coefficient is the term that multiplies the highest power of x. In this exercise, the higher power of x is $x^3$ , which is multiplied by 8. So the leading coefficient is 8.

Constant term:

The constant term is the one which does not multiply a power of x. So in this exercise, it is -3.

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