Find the x and y Intercepts y=x^2-4x+4

Problem

y=x2−4*x+4

Solution

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

y=(0)2−4*(0)+4

y=4

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

0=x2−4*x+4

3. Factor the quadratic expression to solve for x

0=(x−2)2

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

x−2=0

x=2

Final Answer

x-intercept: *(2,0), y-intercept: *(0,4)

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