Find the x and y Intercepts y=2x^2-18

Problem

y=2*x2−18

Solution

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

y=2*(0)2−18

y=−18

2. Find the x-intercepts by setting y=0 and solving for x

0=2*x2−18

3. Add 18 to both sides of the equation.

18=2*x2

4. Divide by 2 on both sides to isolate the squared term.

9=x2

5. Take the square root of both sides, remembering to include both the positive and negative roots.

x=±√(,9)

x=±3

Final Answer

x-intercepts: *(3,0),(−3,0); y-intercept: *(0,−18)

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