Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h , k) = (- 1, - 6), hence
y = a(x + 1)² - 6
To find a substitute (0, - 4) into the equation
- 4 = a - 6 ⇒ a = - 4 + 6 = 2
y = 2(x + 1)² - 6 ← equation in vertex form
expand and simplify
y = 2(x² + 2 + 1) - 6
= 2x² + 4x + 2 - 6
y = 2x² + 4x - 4 ← equation in standard form
