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Yuliya22 [10]
1 year ago
14

The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 2 units. What is its

equation? F(x) = _____ A. F(x) = (x - 2)2 B. F(x) = x2 + 2 C. F(x) = x2 - 2 D. F(x) = (x + 2)2
Mathematics
1 answer:
denis-greek [22]1 year ago
4 0

The transformed equation is:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

<h3>What is the equation?</h3>

We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.

Remember that for a random function f(x), a shift of 2 units to the left is written as:

h(x) = f(x + 2).

Then, in this case, we can write:

F(x) = G(x + 2)

Replacing G(x), we can get the transformed equation:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

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3 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
Viktor [21]

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<h2> (2, -1)</h2>

Step-by-step explanation:

Given the function f(x) = 8x³ − 12x² − 48x, <em>the critical point of the function occurs at its turning point i,e at f'(x) = 0</em>

First we have to differentiate the function as shown;

f'(x)= 3(8)x^{3-1}- 2(12)x^{2-1} - 48x^{1-1}\\  \\f'(x) = 24x^2 - 24x-48x^0\\\\f'(x) = 24x^2 - 24x-48\\\\At \ the\turning\ point\ f'(x)= 0\\24x^2 - 24x-48 = 0\\\\\\

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3 years ago
The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $7 and the ad
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Use simultaneous equation for this problem

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then we double the second equation

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we cancel x by elimination

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y = 40

Step-by-step explanation:

hope this helps

5 0
2 years ago
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