Explanation:
To find the zeros of the quadratic function, we need to set the function equal to zero and solve for x.
3(x + 9)^2 - 3 = 0
Let's solve this equation step by step:
1. Add 3 to both sides to isolate the quadratic term:
3(x + 9)^2 = 3
2. Divide both sides by 3 to simplify the equation:
(x + 9)^2 = 1
3. Take the square root of both sides to remove the square:
√[(x + 9)^2] = ±√1
Remember to consider both the positive and negative square root:
x + 9 = ±1
4. Solve for x by subtracting 9 from both sides:
For the positive square root:
x + 9 - 9 = 1 - 9
x = -8
For the negative square root:
x + 9 - 9 = -1 - 9
x = -10
Answer:
So, the zeros of the quadratic function 3(x + 9)^2 - 3 are x = -8 and x = -10.