Write the equation of the parabola in vertex form.
vertex (2,1), point (3,- 1)
f(x) =

Step-by-step explanation:

Given the vertex, (2, 1) and point (3, -1):

We can plug in those values into the Vertex Form:

Plug in the other point, (3, -1) into the equation to solve for a:

-1 = a1 + 1

Subtract 1 from both sides of the equation to solve for a:

-1 - 1 = 1a + 1 - 1

-2 = 1a

-2 = a

Therefore, the equation of the parabola in Vertex Form is:

where a = -2, and the vertex, (2, 1) as its maximum point.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

answer: i don't understand. what are the options

step-by-step explanation: