Find vertex and axis of symmetry f(x)=2(x-3)^2+1

empalhaviyt

empalhaviyt

Answered question

2022-08-05

Find vertex and axis of symmetry
f ( x ) = 2 ( x 3 ) 2 + 1

Answer & Explanation

Jaxson White

Jaxson White

Beginner2022-08-06Added 15 answers

Step 1
f ( x ) = 2 ( x 3 ) 2 + 1 = 2 x 2 + 18 12 x + 1 = 2 x 2 12 x + 19
Axis of symmetry x = 6 / 2 a
x = 12 2 2 = 3
x = 3 axis of symmetry
Step 2
Vertex x = 3
f ( x ) = f ( 3 ) = 2 ( 3 ) 2 12 × 3 + 19
= 18 36 + 19
f ( x ) = 1
Vertex (3,1).

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