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1954 AMC 12 Question 42

AMC12 · 1954 AMC 12

Question 42

Consider the graphs of $(1)$ $y=x^2-\dfrac12x+2$ and $(2)$ $y=x^2+\dfrac12x+2$ on the same set of axes. These parabolas have exactly the same shape. Then:
  1. the graphs coincide.
  2. the graph of $(1)$ is lower than the graph of $(2).$
  3. the graph of $(1)$ is to the left of the graph of
    $(2).$
  4. the graph of $(1)$ is to the right of the
    graph of $(2).$
  5. the graph of $(1)$ is higher than the graph of $(2).$