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docker41 [41]
2 years ago
9

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

Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0

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 <em>down</em>, so you insert a negative in front of the expression. Next, locate your <em>x-intercepts</em> [<em>zeros</em> (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.

I am joyous to assist you at any time.

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