Answer:
f(x) = 7x² + 3
Step-by-step explanation:
vertex form of an equation of the parabola:
f(x) = a(x - p)² + q
vertex (0, 3) ⇒ p = 0, q = 3
so:
f(x) = a(x - 0)² + 3
f(x) = ax² + 3
the parabola goes through point (1, -4) ⇒ x=1, f(x)=-4
-4 = a(1)² + 3
-4 = a + 3
a = 7
Therefore the equation of the parabola in vertex form:
f(x) = 7x² + 3
