Find the x and y Intercepts y=x^2-6x+8

Problem

y=x2−6*x+8

Solution

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

y=0−6*(0)+8

y=8

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

0=x2−6*x+8

3. Factor the quadratic expression to find the roots.

0=(x−2)*(x−4)

4. Apply the zero product property to solve for x

x−2=0⇒x=2

x−4=0⇒x=4

Final Answer

x-intercepts: *(2,0),(4,0); y-intercept: *(0,8)

Want more problems? Check here!