Question

What is the equation of the function represented by this graph?

Answer 1

Answer:

$\displaystyle g(x) = -(x + 2)(x - 4)$

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is down, so you insert a negative in front of the expression. Next, locate your x-intercepts [zeros (where the graph insects the x-axis)]. You will see that the graph intersects $\displaystyle [-2, 0]$ and $\displaystyle [4, 0],$ so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, $\displaystyle y = A[x - h]^2 + k,$ that negative in front of $\displaystyle h$ gives you the OPPOCITE outcome, so be careful.

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