Question
y=1/2cos[1/2(x-30)]-5 has a transformed point of
a. (465,-5.5)
b. (390,-5.5)
c. (285,-5.5)
d. (560,-5.5)
a. (465,-5.5)
b. (390,-5.5)
c. (285,-5.5)
d. (560,-5.5)
Answers
GPT 3.5
To find the transformed point, we need to substitute the x-coordinate into the equation and solve for y.
Let's substitute the x-coordinate of the transformed point, which is given as 465, into the equation y = 1/2cos[1/2(x-30)]-5:
y = 1/2cos[1/2(465-30)]-5
y = 1/2cos[1/2(435)]-5
y = 1/2cos[217.5]-5
The cosine of 217.5 degrees is equal to -0.5, so we can substitute this value into the equation:
y = 1/2(-0.5)-5
y = -0.25 - 5
y = -5.25
Therefore, the transformed point is (465, -5.25).
None of the given options match the transformed point, so the correct answer is none of the above.
Let's substitute the x-coordinate of the transformed point, which is given as 465, into the equation y = 1/2cos[1/2(x-30)]-5:
y = 1/2cos[1/2(465-30)]-5
y = 1/2cos[1/2(435)]-5
y = 1/2cos[217.5]-5
The cosine of 217.5 degrees is equal to -0.5, so we can substitute this value into the equation:
y = 1/2(-0.5)-5
y = -0.25 - 5
y = -5.25
Therefore, the transformed point is (465, -5.25).
None of the given options match the transformed point, so the correct answer is none of the above.