Question

The function f(x)=x2+2x-2 and g(x)=(x+1)2-3 represents the same function true of false

Answer 1

SOLUTION

From the question

The function

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

is written in the general quadratic form of

$y=ax^2+bx+c\text{ }$

while

$g(x)=(x+1)^2-3$

is written in the vertex form for quadratic equation in form of

$\begin{gathered} y=a(x-h)^2+k \\ where\text{ \lparen h, k\rparen represents the vertex } \end{gathered}$

Hence both functions are the same, just that the first is the general quadratic form and the other is the vertex form

Hence the answer is True