What is the vertex of the parabola y=2(x-3)^2+5 NEED ANSWER NOWWW

Draw and label the final image of △ABC after the given sequence of transformations. Reflect △ABC over the y−axis and then transl

arlik [135]

Answer: The correct option is A.

Explanation:

From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and (-2,4) respectively.

If a point reflects over the y-axis then,

$(x,y)\rightarrow(-x,y)$

So after reflecting coordinates of point C become,

$(-2,4)\rightarrow(2,4)$

If a point translated by (a,b), then

$(x,y)\rightarrow(x+a,y+b)$

So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,

$(2,4)\rightarrow(2+2,4-2)\\(2,4)\rightarrow(4,2)$

Similarly the image of point A and B are (3,-1) and (5,1) respectively.

The image of C after reflection over y-axis followed by translation by (2,-2) is (4,2), which is shown in only graph A, Therefore A is the correct option.

8 0

3 years ago

A student is training for the swim team during July and August one summer. She swims one hour every day, while averaging 800 met

Alex787 [66]

Step-by-step explanation:

Please find the attachment.

Let x be the number of hours the student swims per day.

We have been that a student swims one hour every day, so in 2 months the student will swim 60 hours.

We are also told that the student swims 800 meters each day. This means that slope of the graph that represents the total meters swam during the time of her training program will be 800.

So in 60 days the student will swim $60\times 800=48,000\text{ meters}$ .