Find the x and y Intercepts y=x^2-6x+9

Problem

y=x2−6*x+9

Solution

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

y=(0)2−6*(0)+9

y=9

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

0=x2−6*x+9

3. Factor the quadratic expression to solve for x

0=(x−3)2

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

x−3=0

x=3

Final Answer

x-intercept: *(3,0), y-intercept: *(0,9)

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