Point B is reflected over the y-axis to create the point B'. Then, points B, B' and C are connected to form a triangle. What is the area of the triangle formed? 48 square units 14 square units 28 square units 24 square units

24 square units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation translation and dilation.

If a point O(x, y) is reflected along the y axis, the new location would be O(-x, y).

The coordinate of the triangle is B(3, 5), C(3, -3). Therefore since B is reflected along y axis to form B'. Hence, B' = (-3, 5)

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.