Answer:
f(x) = - 2 (x + 2)² + 6
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) = (- 2, 6), thus
y = a(x - (- 2))² + 6, that is
y = a(x + 2)² + 6
To find a substitute the point (0, - 2) into the equation
- 2 = a(0 + 2)² + 6 ( subtract 6 from both sides )
- 8 = 4a ( divide both sides by 4 )
- 2 = a
f(x) = - 2(x + 2)² + 6 ← in vertex form
