Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?

(4, -6)

Step-by-step explanation:

A reflection across the y-axis means the point is equal but opposite distance from the y-axis. It begins at 4 units to the LEFT (negative) of the y-axis, so after the reflection, it should be 4 units the the RIGHT (positive) of the y-axis. This has no change on the y-value of the point, because no matter the y-value, the point will still be the same distance from the y-axis. Long story short, if you're reflecting across the y-axis, change the sign of the x-coordinate. If you're reflecting across the x- axis, change the sign of the y-coordinate. That's why the answer is (4, -6).

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step-by-step explanation:

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2