Answer: Vertex = (0, 3) 2nd point = (1, 2)
<u>Step-by-step explanation:</u>
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. <em>I chose x = 1</em>
f(1) = -(1)² + 3
= -1 + 3
= 2
So, an additional point is (1, 2) ← PLOT THIS COORDINATE
Answer:
y = -
x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 9, 6)
m =
=
= -
, hence
y = -
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 9, 6), then
6 = 3 + c ⇒ c = 6 - 3 = 3
y = -
x + 3 ← in slope- intercept form
My guess is the answer is b but you may want to get another answer from someone else
Hello
Your answer is 4 inches deep :))
Hope this helps