What are the coordinates of vertex J of the pre-image?
1 answer:
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Option A: is the third vertex
Option B: is the third vertex.
Explanation:
The two vertices of the right triangle are and
The third vertex of the right triangle can be determined by plotting the points in the graph.
Option A:
By plotting the points ,
and the third vertex
in the graph, the the hypotenuse of the triangle passes through the vertices
and
The legs of the triangle passes through the vertices ,
and
,
Hence, the third vertex forms a right triangle.
Therefore, Option A is the correct answer.
Option B:
By plotting the points ,
and the third vertex
in the graph, the hypotenuse of the triangle passes through the vertices
and
The legs of the triangle passes through the vertices ,
and
,
Hence, the third vertex forms a right triangle.
Therefore, Option B is the correct answer.
Option C:
By plotting the points ,
and the third vertex
in the graph, we can see that the three vertices does not make a right angled triangle.
Hence, the third vertex does not form a right triangle.
Therefore, Option C is not the correct answer.
Option D:
By plotting the points ,
and the third vertex
in the graph, we can see that the three vertices does not make a right angled triangle.
Hence, the third vertex does not form a right triangle.
Therefore, Option D is not the correct answer.
Answer:
f(x)= 3*(-|x+4|+5)
Step-by-step explanation:
Given the function f(x)=|x|
1. Transform the graph in a reflection across the x-axis:
You can transform the graph multiplying it by -1, so you have:
f(x)= -|x|
2. Translate the graph 4 units to the left:
You can translate the graph adding the number inside the absolute value, so:
f(x)= -|x+4|
3. Translate the graph up 5 units:
You can translate the graph up adding the number of units, but outside the absolute value, then:
f(x) = -|x+4|+5
4. Finally to transform the graph with a vertical stretch with a scale factor 3:
You should multiply the function by 3
f(x)= 3*(-|x+4|+5)
