Please graph the polygon and its image after a reflection in the line y=3.

What are the coordinates for the polygon after a reflection in the line y=3?

Please show all the work on how you got your answer.

I’ll give Brainliest to whoever answers the question and it’s right.

Step-by-step explanation:

Since the line y=3 is the line of reflection, the point (x, 3) will be the midpoint between the original coordinates of a point (x, y) and their reflected coordinates (x', y'). That is ...

  ((x, y) +(x', y'))/2 = (x, 3)

We can multiply by 2 and subtract (x, y) to find the values of x' and y'.

  (x, y) +(x', y') = 2(x, 3) = (2x, 6)

  (x', y') = (2x, 6) -(x, y) = (x, 6-y)

That is, the reflection transformation is ...

  (x, y) ⇒ (x, 6-y)

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Then the reflected points are ...

  E(1, 3) ⇒ E'(1, 3)

  F(4, 3) ⇒ F'(4, 3)

  G(5, 0) ⇒ G'(5, 6)

  H(2, 0) ⇒ H'(2, 6)

The graph is shown in the attachment. The line of reflections is shown dashed in green. The original figure is outlined in dashed light blue.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

idk

step-by-step explanation:

use that smart brain