Find the x and y Intercepts y=x^2+2x-3

Problem

y=x2+2*x−3

Solution

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

y=0+2*(0)−3

y=−3

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

0=x2+2*x−3

3. Factor the quadratic expression to solve for x

0=(x+3)*(x−1)

4. Apply the zero product property by setting each factor equal to zero.

x+3=0⇒x=−3

x−1=0⇒x=1

Final Answer

x-intercepts: *(−3,0),(1,0); y-intercept: *(0,−3)

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