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Which graph best represents a quadratic function that has only one solution where y = 0? explain your answer

Which graph best represents a quadratic function that has only one solution where-example-1
Which graph best represents a quadratic function that has only one solution where-example-1
Which graph best represents a quadratic function that has only one solution where-example-2
Which graph best represents a quadratic function that has only one solution where-example-3

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Answer:

The last graph which lies on the x-axis best represents a quadratic function that has only one solution where y = 0

Explanation:

y = 0 where it has no value or when the graph touches x-axis.

In this case, the last graph touches the x-axis one time. Meaning,

y = 0 for at least one value of x.

On the graph, the function is represented as

y = ( x - 4 )²

And if we plug in 4 for x, we get,

x = 4

y = ( 4 - 4 )²

y = 0

This will not work for any other value, therefore, this is the best graph which represents a quadratic function that has only one solution where y = 0

User Marcel Hoekstra
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