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2 years ago

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics

2 answers:

madam [21]2 years ago

7 0

Answer: The answer is (C) $y=(x-2)^2.$

Step-by-step explanation: We are given two graphs of functions F(x) and G(x) having same shape. The graph of F(x) passes through the origin and is defined by

$F(x)=x^2.$

We are to find the equation of the graph of G(x).

Since the graph of G(x) is shifted right 2 units from the graph of F(x), so x will be replaced by (x - 2).

Therefore, the equation of the function G(x) becomes

$G(x)=(x-2)^2.$ .

Thus, (C) is the correct option.

11111nata11111 [884]2 years ago

5 0

g(x) = (x-2)^2

when we shift left or right we replace the x with our new x including the shift

(x-2) will shift it right units

(x+2) will shift it left 2 units

Choice C

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Anna11 [10]

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2 years ago

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dmitriy555 [2]

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3 years ago

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rodikova [14]

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Step-by-step explanation:

Step 1:

To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.

There are 3 triangles and 1 square in the figure.

Step 2:

All the triangles are similar.

The surface area of a triangle = $\frac{1}{2} (baselength)(height).$

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The surface area of 1 similar triangle = $\frac{1}{2} (3)(2.5)= 3.75$ square feet.

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Step 3:

The surface area of a square is the square of its side length. The square has a side length of 3 feet.

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Step 4:

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