Rewrite f(x) = 2(x − 1)2 + 3 vertex form to standard form

Mathematics · High School · Thu Jan 21 2021

Answered on

Given the function:

f(x) = 2(x - 1) 2 + 3

Change to standard form.

Solution:

In order to change the given equation to standard form, we simply distribute 2 to each value inside the parenthesis, and then combine like terms.

f(x) = 2(x - 1) 2 + 3

f(x) = (2x -2) 2 + 3

f(x) = (2x -2) 5

f(x) = 10x - 10

Final answer:

f(x) = 10x - 10