tbw027 tbw027
  • 02-06-2021
  • Mathematics
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Which could be a graph which represents a quadratic that is a perfect square trinomial?

Which could be a graph which represents a quadratic that is a perfect square trinomial class=

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ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 02-06-2021

Answer:

The top choice.

Step-by-step explanation:

If a quadratic function is a perfect square trinomial, its graph will intersect the x-axis exactly once.

[tex]y=(x+1)^2\\[/tex]

Expanded, this is [tex]y=(x+1)(x+1)[/tex]

There is only one value of x which makes the "two" factors equal to zero, and that is -1, where the graph touches the x-axis.

See the attached graph. [tex]y=(x+1)^2[/tex] is the purple graph.

The green graph is an example of a quadratics which is NOT a perfect square. It's the function [tex]y=x^2-x-2[/tex].

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