Question

check my answer?



In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally shifted? (1 point)


Down 5, left pi over 2
Up 5, left pi over 2
Down 5, right pi over 2
Up 5, right pi over 2

i got Down 5, left pi over 2

Answer 1

Yes you are correct on both parts of the answer. Nice job.

The -5 at the end means "move the parent function down 5 units"
the 2x+pi turns into 2(x+pi/2) = 2(x - (-pi/2)) so that tells us to shift left pi/2 units

Answer 2

@jim_thompson5910 thank you!!

Answer 3

you're welcome