A
B
C
D
Explanation
Correct answer: D.
Choice D is correct. For the quadratic function , the vertex of the graph is , and because the term is positive, the vertex is the minimum of the function. Choice D is the only option that meets these conditions.
Desmos solution:
Note: Match the plotted parabola, whose vertex is at (0,4), to choice D.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. The vertex of this graph doesn't correspond to the minimum of the given function.
Choice B
Choice B is incorrect. The vertex of this graph doesn't correspond to the minimum of the given function.
Choice C
Choice C is incorrect. The vertex of this graph doesn't correspond to the minimum of the given function.