Reflect the triangle across the y-axis, and then translate the image 5 units down. The final image is the same as which of the following transformations? Translate 5 units down, and then reflect over the x-axis. Translate 5 units down, and then reflect over the y-axis. Rotate 180° about the origin. Reflect over the x-axis, and then translate 5 units left.

(option 2)

Step-by-step explanation:

It is a glide reflection.

The order of sliding and reflection is not important if the gliding is parallel to the line of reflection, which is the case here.

So the equivalent is translate five units down, and then reflect over the y-axis.

Note in general that rotations will not be equivalent to an odd number of reflections.  So looking for an equivalent, look for reflection.

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where is the image?

step-by-step explanation:

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