Which could be a graph which represents a quadratic that is a perfect square trinomial?
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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].