Answer:
y = x^2 − x − 2
Step-by-step explanation:
To translate the curve y = x^2 − 3x by the vector (1,−2), you need to add 11 to every x-coordinate and subtract 22 from every y-coordinate.
So, the translated curve would have the equation:
y = (x + 1)^2 − 3(x + 1).
Let's expand this equation to get the translated curve in its expanded form:
y = (x^2 +2x + 1) − (3x + 3)
y = x^2 + 2x + 1 − 3x − 3
y = x^2 − x − 2
Therefore, the translated curve is:
y = x^2 − x − 2.
