Compare the graph of $$g\left(x\right)=x^2-3$$ with the graph of $$f\left(x\right)=x^2$$

Both graphs open up and have the same axis of symmetry, $$x=0$$ . The vertex of the graph of $$g,\ \left(0,-3\right)$$ , is below the vertex of the graph of $$f,\ \left(0,0\right)$$ , because the graph of $$g$$ is a vertical translation 3 units down of the graph of $$f$$ .

Both graphs open down and have the same axis of symmetry, $$x=0$$ . The vertex of the graph of $$g,\ \left(0,-3\right)$$ , is below the vertex of the graph of $$f,\ \left(0,0\right)$$ , because the graph of $$g$$ is a vertical translation 3 units down of the graph of $$f$$ .

Both graphs open up and have the same axis of symmetry, $$x=0$$ . The vertex of the graph of $$g,\ \left(0,3\right)$$ , is above the vertex of the graph of $$f,\ \left(0,0\right)$$ , because the graph of $$g$$ is a vertical translation 3 units up of the graph of $$f$$ .

Integrated II - Chapter 3 Review

Authored by Pauline Cagle

Mathematics

9th - 12th Grade

Used 3+ times

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