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2 years ago

Which equation is represented by the intersection of the graphs below? Image is above.

Mathematics

1 answer:

zaharov [31]2 years ago

3 0

Option B:

sin x = 1 is the equation represented by the intersection of the graph.

Solution:

The graph lies between -1 and 1 in y-axis.

x-axis of the graph is all real numbers.

The graph oscillates between -1 and 1 and a shape that repeats itself every 2π units.

That is the domain of the graph is all real numbers.

The range of the graph is [-1, 1].

It clearly shows that, it is the graph of sinx = 1.

Hence sin x = 1 is the equation represented by the intersection of the graph.

Option B is the correct answer.

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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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3 years ago

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Answer:

The relation is a function.

Step-by-step explanation:

In order for the relation to be a function, every input must only have one output. Basically, you can't have 2 outputs for 1 input but you can have 2 inputs for 1 output. Looking at all of the points in the relation, we see that no input has multiple outputs, so the answer is yes, the relation is a function.

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