Question

What is the equation of the graph below?

y = – (x + 2)2 + 2

y = – (x – 3)2 + 2

y = (x – 2)2 + 2

y = (x + 3)2 + 2

Answer 1

@John_ES wanna help me out with this one?

Answer 2

The parabola it has a general form,
\[y=ax^2+bx+c\]In this case you can see that the term that multiplies the x^2 will give you the orientation of the parabola. The graph says you that it must be negative, so the third and the fourth are false. Now you need to check where is the vertex of the parabola. The graphs says that the vertex is in x=3, y=2. So, the only equation that satisfies the two conditions cited is the second equation.

Answer 3

thank you so much!