Answer: (x + 2)² - 7
Explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- a is the coefficient
- (h, k) is the coordinate of the vertex
Since, the given coordinates are: (h, k) = (-2, -7) and (x, y) = (0, -3), we can input theose values into the vertex form and solve for "a".
-3 = a(0 + 2)² - 7
-3 = a(2)² - 7
4 = 4a
1 = a
Now, input (h, k) and "a" into the vertex form of the equation:
y = 1(x + 2)² - 7 → f(x) = (x + 2)² - 7