F(x)= (x - 1)^2+2

Graph the function and identify the axis is symmetry

f(x)= (x - 1)^2+2 = 1

Step-by-step explanation:

Write F ( x ) = ( x − 1 ) 2 + 2 as an equation.

y=(x−1)2+2

Use the vertex form, y = a ( x − h )^2 + k , to determine the values of a , h , and k .

a = 1

h = 1

k = 2

Since the value of a is positive, the parabola opens up. Opens Up

Find the vertex ( h , k ) .

(1,2)

Find p , the distance from the vertex to the focus.

( 1, )

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x = 1

I hope this helps.

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

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step-by-step explanation: