Question

URGENT, will reward brainliest. Determine the equation of the graph and select the correct answer below.

Answer 1

In this problem, it will be helpful to know the vertex form of a parabola, which is listed below:

$y = a(x - h)^2 + k$

• $a$ is a constant which helps to determine whether the parabola opens up or down. If $a < 0$, then the parabola opens downward and if $a > 0$, the parabola opens upwards
• $(h, k)$ is the vertex of the parabola

By looking at the graph, we can first see that the graph opens downwards, meaning that $a < 0$. Thus, choices C and D are not valid. Now, let's use the vertex of the parabola to complete the equation.

The vertex of this parabola is (-1, 3), as shown by the graph. When we substitute this into our formula, we get:

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

The answer is a, $-(x + 1)^2 + 3$.

Answer 2

b.
$y = - (x - 1)^{2} + 3$