Final answer:
The values of p and q are determined by comparing coefficients in the quadratic equation.
Step-by-step explanation:
To find the values of p and q in the equation 2x^2-4x+3=2(x-p)^2+q,
we can compare the coefficients of the quadratic terms on both sides of the equation.
By expanding the right side and comparing coefficients, we can determine that p = 1 and q = -2.