Write an equation for the function that is described by the following characteristics: the shape of , but moved eight units down, two units to the left, and then reflected in the x-axis

Question

Write an equation for the function that is described by the following characteristics: the shape of  , but moved eight units down, two units to the left, and then reflected in the x-axis

Quizplus · Accepted Answer

The shape of the function is given by 11eb11e8_19d0_a0f1_ad38_97d2dc4ddcc2_TB4588_11.
Moving the function eight units down shifts it downward by subtracting 8 from the original function: 11eb11e8_19d0_a0f1_ad38_97d2dc4ddcc2_TB4588_11 - 8. 
To move the function two units to the left, we replace x with (x + 2): 11eb11e8_19d0_a0f1_ad38_97d2dc4ddcc2_TB4588_11 - 8 = 11eb11e8_19d0_a0f2_ad38_ce45b7ed8a9f_TB4588_11.
Lastly, to reflect the function in the x-axis, we take the negative of the function: -11eb11e8_19d0_a0f2_ad38_ce45b7ed8a9f_TB4588_11, which simplifies to 11eb11e8_19d0_a0f4_ad38_fd04e57812fa_TB4588_11. Thus, the equation for the function with the given characteristics is 11eb11e8_19d0_a0f4_ad38_fd04e57812fa_TB4588_11.

Write an Equation for the Function That Is Described by the Following