the black graph is y = sin x. choose the equation for the red graph.\ny = sin(x) - 2\ny = sin(x - π/2)\ny =…
the black graph is y = sin x. choose the equation for the red graph.\ny = sin(x) - 2\ny = sin(x - π/2)\ny = sin(x) + 2\ny = sin(x + π/2)
Answer
Explanation:
Step 1: Identify horizontal shift
Observe the zero point moves from (0,0) to (π/2,0), a right shift by π/2.
Step 2: Apply horizontal shift formula
For y = sin(x - h), a right shift by h, so h = π/2.
Step 3: Eliminate vertical shift options
Options with +2 or -2 are vertical shifts, which don't affect zero point position.
Answer:
B. y = sin(x - π/2)