Point B (−6,3) is reflected across the line y = x. What are the coordinates of the image B′? The coordinates of the image B′ are (
A ,
B ).

B'(3, -6)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to  new location. If an object is transformed then all its points are transformed. Types of transformation are rotation, reflection, dilation and translation.

Reflection is the flipping of a point over the line of reflection. If a point X(x, y) is reflected across the line y = x,  the new location is at X'(y, x).

If point B(-6, 3) is reflected over line y = x, the new location is B'(3, -6).

the answer is 40.

proof:

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