Find the x and y Intercepts y=x^2-2x+1

Problem

y=x2−2*x+1

Solution

1. Find the y-intercept by setting x=0 in the equation.

y=(0)2−2*(0)+1

y=1

2. Find the x-intercept by setting y=0 and solving the resulting quadratic equation.

0=x2−2*x+1

3. Factor the quadratic expression which is a perfect square trinomial.

0=(x−1)2

4. Solve for x by taking the square root of both sides.

0=x−1

x=1

Final Answer

x-intercept: *(1,0), y-intercept: *(0,1)

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