What is the quadratic function f (x) = x^2+2x-2 in vertex form?

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

b. f (x) = (x+1) ^2-3

c. f (x) = (x-1) ^2-3

d. f (x) = (x-1) ^2-1

Question

Caiden Bradshaw

Mathematics

4 May, 13:44

What is the quadratic function f (x) = x^2+2x-2 in vertex form?

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

b. f (x) = (x+1) ^2-3

c. f (x) = (x-1) ^2-3

d. f (x) = (x-1) ^2-1

+4

Answers (1)

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Efrain French · Answer 1

Given: f (x) = x² + 2x - 2

Add 2 to both sides: f (x) + 2 = x² + 2x

Complete the square: f (x) + 2 + (1) = x² + 2x + (1) → f (x) + 3 = (x + 1) ²

Subtract 3 from both sides: f (x) = (x + 1) ² - 3

Answer: B

What is the quadratic function f (x) = x^2+2x-2 in vertex form?a. f (x) = (x+1) ^2-1b. f (x) = (x+1) ^2-3c. f (x) = (x-1) ^2-3d. f (x) = (x-1) ^2-1

What is the quadratic function f (x) = x^2+2x-2 in vertex form?

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

b. f (x) = (x+1) ^2-3

c. f (x) = (x-1) ^2-3

d. f (x) = (x-1) ^2-1