Question

The graph of y = 3tan(2x) is shifted to the left by 60 units and down 5 units. Write the new equation.

Answer 1

@SithsAndGiggles help please

Answer 2

@goformit100 help please

Answer 3

Have you tried writing \(y=3\tan (2x)\) in the general form?
\[\large y=3\tan\big(2(x-c)\big)+d\]
Horizontal shift left by 60 units means \(c=-60\), and a vertical shift down by 5 units means \(d=-5\).

Answer 4

so the equation would be y= 3tan(2(x-60)-5 ??

Answer 5

@SithsAndGiggles

Answer 6

Close, it's \(y=3\tan(2(x+60))-5\).

The general form contains \(x-c\). A shift left means \(c\) is negative, so you'd have \(x-(-c)=x+c\).