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3 years ago

Which graph represents the function f(x)=4*3^x (f times x equals 4 times three to the power of x)

Mathematics

1 answer:

pychu [463]3 years ago

7 0

Answer:

The answer to your question is the first graph in the second line.

Step-by-step explanation:

First graph in the first line: it shows a positive graph that intercepts the y-axis in 5, then this graph is not the correct answer.

Second graph in the first line: it shows a negative graph, this option is incorrect, we look for a positive graph.

First graph in the second line: is correct because is a positive graph and intercpts the y-axis in 4.

Second graph in the second line: is incorrect although it is a positive graph, it intercepts the y-axis in 3.

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Describe the transformation in the figure below

Keith_Richards [23]

Answer:

A) Reflection.

Step-by-step explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

$Pre-image(x,y)\rightarrow Image(x,-y)$

We can check the co-ordinates of the triangles and confirm the the transformation occurring

Points of pre-image triangle:

$(0,2),(4,5),(6,2)$

Points of image triangle

$(0,-2),(4,-5),(6,-2)$

Thus, the transformation is reflection.

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