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

Mathematics

1 answer:

ioda3 years ago

4 0

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

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