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

Problem

y=x2−2*x−8

Solution

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

y=0−2*(0)−8

y=−8

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

0=x2−2*x−8

3. Factor the quadratic expression by finding two numbers that multiply to −8 and add to −2

0=(x−4)*(x+2)

4. Apply the Zero Product Property to solve for x by setting each factor equal to zero.

x−4=0⇒x=4

x+2=0⇒x=−2

Final Answer

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

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