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3 years ago

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

Mathematics

2 answers:

defon3 years ago

7 0

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

$f(x)=x^2$

It is given that both graph has same shape it means the equation of blue graph is in the form of

$g(x)=(x-h)^2+k$

Where, (h,k) is the vertex of the parabola.

From the given graph it is noticed that vertex of blue parabola is (4,1), therefore the eqaution of parabola is

$g(x)=(x-4)^2+1$

Option C is correct.

Airida [17]3 years ago

4 0

The answer is c because when it's in parenthaces squared it's the opposite (which is the horizontal shift) and the plus 1 is the vertical shift

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tan^2(x) is the answer.

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Answer:

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2 years ago

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3 years ago

A figure has been dilated from the origin by a scale factor of

Darya [45]

Answer:

See Explanation

Step-by-step explanation:

The question has missing details. So, I'll solve using a general assumption.

Let one of the coordinates of the figure be

$A = (x,y)$

Let the scale factor be n

When dilated, the new figure is:

$A' = n * A$

$A' = n * (x,y)$

To return the image back to the original figure, the new scale factor mus be a reciprocal of the previous scale factor i.e. $\frac{1}{n}$

So:

$A = A' * \frac{1}{n}$

Substitute n(x,y) for A';

$A = n(x,y) * \frac{1}{n}$

$A = \frac{n(x,y)}{n}$

$A = (x,y)$

Take for instance:

$A = (2,3)$

$n = 2$ -- scale factor

$A' = n * A$

$A' = 2 * (2,3)$

$A' = (4,6)$

To get A from A', using the analysis above

$A = \frac{1}{2} * (4,6)$

$A = (2,3)$

6 0

2 years ago

Can someone help me I’m having trouble finding the area of the shaded region in each figure and round the answer to two decimal

stellarik [79]

Answer:

Step-by-step explanation:

Area of a Semi Circle

Area = 1/2 pi r^2

r = d/2

r = 3/2

r = 1.5

Area = 1/2 3.14 * 1.5^2

Area = 1/2 * 3.14 * 2.25

Area = 3.5325

Area of Rectangle

L = 12 Yd

W = 4 Yd

Area = L * W

Area = 12 * 4 = 48

Total Area = 51.5325

5 0

2 years ago