Question

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

Graph the function and identify the axis is symmetry

Answer 1

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

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)/(4)`

( 1,
`(9)/(4)` )

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

x = 1

I hope this helps.