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Fynjy0 [20]
3 years ago
13

The graph of F(x),shown below,has the same shape as the graph of G(x)=x^4, but it is shifted 2 units to the right. What is it’s

equation?
F(x) =____

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Hey there! :)

Answer:

A. f(x) = (x - 2)^{4}

Step-by-step explanation:

Recall that the transformation form of a polynomial with degree four is:

f(x) = ±a(b(x-h))^{4} +k

In this instance, we will need to use the h value, or the horizontal shift.

It is given that there is only a horizontal shift of 2 units to the right, or h = 2. Plug this into the equation:

f(x) = (x - 2)^{4}

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Find the slope of the line passing through each of the following pairs of points.
BARSIC [14]

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Looking at the second pair:  from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.

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5 0
3 years ago
A company estimates that it will sell ????(x) units of a product after spending x thousand dollars on advertising, as given by ?
zepelin [54]

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(11\frac{1}{3},20)

Step-by-step explanation:

If the Number of Sales of x units, N(x) is defined by the function:

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N'(x)=-15x^2+470x-3400\\When -15x^2+470x-3400=0\\x=20, x=11\frac{1}{3}

Next, we text the critical points and the end points of the interval to see where the derivative is increasing.

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Thus, the rate of change of sales N'(x) is increasing in the interval (11\frac{1}{3},20) on 10≤x≤40.

7 0
3 years ago
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