Answer:
Equation of a parabola in vertex form: y = a(x - h)² + k
Equation of the parabola: y = 4(x + 1)² - 3
Step-by-step explanation:
- Equation of a parabola in vertex form: y = a(x - h)² + k
where (h, k) is the vertex
Substituting the given vertex (-1, -3) into the equation:
y = a(x + 1)² - 3
As the curve passes through point (0, 1), substitute x=0 and y=1 into the equation and solve for a:
1 = a(0 + 1)² - 3
⇒ 1 = a - 3
⇒ a = 4
Therefore, y = 4(x + 1)² - 3
