Find the x and y Intercepts y=x^2-4x-5

Problem

y=x2−4*x−5

Solution

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

y=0−4*(0)−5

y=−5

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

0=x2−4*x−5

3. Factor the quadratic expression by finding two numbers that multiply to −5 and add to −4

0=(x−5)*(x+1)

4. Solve for x by setting each factor equal to zero using the zero product property.

x−5=0⇒x=5

x+1=0⇒x=−1

Final Answer

x-intercepts: *(5,0),(−1,0); y-intercept: *(0,−5)

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