Answer:
6x + 2(−2x + 1) = 22
Step-by-step explanation:
6x + 2(−2x + 1) = 22
This step can be used to solve by substitution method.
Answer:
C:
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
An easy way to solve this equation is to plug in the coordinates.
A. 6(2) + 8 ≠ 1
✅ B. 6(-1) + 8 = 2
C. 6(2) + 8 ≠ 4
D. 6(-2) + 8 ≠ 4