Answer: Vertex = (0, 3) 2nd point = (1, 2)
Step-by-step explanation:
f(x) = -x² + 3 → f(x) = a(x - 0)² + 3
If you use transformations with the parent graph f(x) = x², the transformation is reflected over the x-axis and shifted 3 units up.
If you use the vertex formula: f(x) = a(x - h)² + k
- the vertex is (0, 3) ← PLOT THIS COORDINATE
- "a" is negative, so the parabola points downward
This equation does not factor over the rational numbers, so find a second point by choosing an x-value and plugging it into the given equation to solve for y. I chose x = 1
f(1) = -(1)² + 3
= -1 + 3
= 2
So, an additional point is (1, 2) ← PLOT THIS COORDINATE
