1 Answer

James Kovacs · Answer 1 · 2022-07-29T22:43:06+0000

Answer:

$y = {x}^(2) - 2$

Explanation:

Find a Rule means write a function for the graph. The graph is shaped like a U so the graph will be a quadratic, so the graph must have a term

${x}^(2)$

in it. We are given the vertex of the function. We can use vertex formula

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

where h is the x value of the vertex and k is the y value of the vertex.

$y = (x - 0) {}^(2) - 2$

$y = {x}^(2) - 2$

So the rule is

${x}^(2) - 2$

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