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monitta
1 year ago
10

Which one of the following graphs is the graph of:3if -2 < x < 01if x = 0if 0 < x≤ 2f(x) =A.44B.4-²-(x + 1)?

Mathematics
1 answer:
In-s [12.5K]1 year ago
8 0

Given the piecewise function:

f(x)=\begin{cases}{3\text{ if -2}\leq x

Let's select the graph which represents the function.

We have the graph below:

For f(x) = 3, the graph will be a horizontal line on y = 3 which has an open dot on x = 0 and a closed dot on x = -2

For f(x) = 1 if x = 0, the graph will have a closed dot located on the point (0, 1)

For f(x) = -(x + 1) if 0 < x ≤2, the graph will have a negative slope with an open dot on (0, -1) and closed dot on (2, -3)

ANSWER:

Graph B

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line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image
Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)

(0,-4)\rightarrow (0, 6)

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6


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