Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Answer 1

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