Question

Please Help

Answer 1

The graph of which equation is shown below?

y = −x^2 + 2x − 3
y = −x^2 − 2x − 3
y = x^2 + 2x − 3
y = x^2 − 2x − 3

Answer 2

You know that formula of a parabola is
\[y=ax ^{2}+bx+c\]

if a is a<0 (-1,for example), then
and if a>0 (1, for example) then

So, from this you can say that y = −x^2 + 2x − 3 and y = −x^2 − 2x − 3
can't be your answers, because a<0 and in your given picture the branch of a parabola goes up. So we still have y = x^2 + 2x − 3
and
y = x^2 − 2x − 3