MathDB
Considering Graphs

Source:

February 7, 2009
conicsparabolageometrygeometric transformation

Problem Statement

Consider the graphs of (1): y\equal{}x^2\minus{}\frac{1}{2}x\plus{}2 and (2) y\equal{}x^2\plus{}\frac{1}{2}x\plus{}2 on the same set of axis. These parabolas are exactly the same shape. Then: <spanclass=latexbold>(A)</span> the graphs coincide.<spanclass=latexbold>(B)</span> the graph of (1) is lower than the graph of (2).<spanclass=latexbold>(C)</span> the graph of (1) is to the left of the graph of (2).<spanclass=latexbold>(D)</span> the graph of (1) is to the right of the graph of (2).<spanclass=latexbold>(E)</span> the graph of (1) is higher than the graph of (2). <span class='latex-bold'>(A)</span>\ \text{the graphs coincide.} \\ <span class='latex-bold'>(B)</span>\ \text{the graph of (1) is lower than the graph of (2).} \\ <span class='latex-bold'>(C)</span>\ \text{the graph of (1) is to the left of the graph of (2).} \\ <span class='latex-bold'>(D)</span>\ \text{the graph of (1) is to the right of the graph of (2).} \\ <span class='latex-bold'>(E)</span>\ \text{the graph of (1) is higher than the graph of (2).}