Graphing Quadratics: Vertex, Axis of Symmetry, Intercepts 2 — Advanced Math

Questions in this quiz (6)

1. The graph of $$y=(x-2)^2$$ is shifted 3 units down. Which equation represents the new parabola?

   • $$y=(x-2)^2+3$$
   • $$y=(x-2)^2-3$$
   • $$y=(x+2)^2-3$$
   • $$y=(x+2)^2+3$$

2. The graph of $$y=-x^2+6x-5$$ has its vertex at:

   • $$(3,4)$$
   • $$(-3,4)$$
   • $$(3,-4)$$
   • $$(-3,-4)$$

3. Which quadratic has its vertex on the y-axis and passes through (1,3)?

   • $$y=x^2+2$$
   • $$y=x^2+3$$
   • $$y=x^2+1$$
   • $$y=x^2+4$$

4. If the vertex of a parabola is at $$(1,-2)$$ and the parabola passes through $$(3,6)$$, what is the equation of the parabola?

   • $$y=2(x-1)^2-2$$
   • $$y=4(x-1)^2-2$$
   • $$y=3(x-1)^2-2$$
   • $$y=(x-1)^2-2$$

5. The graph of the quadratic function $$y=g(x)$$ is shown. What is the vertex of the graph?

   • $$(0,\frac{5}{2})$$
   • $$(\frac{5}{2},0)$$
   • $$(2,5)$$
   • $$(1,4)$$

6. A parabola has the equation $$y-6=-2(x+3)^{2}$$ What are the coordinates of its vertex?

   • $$(3,-6)$$
   • $$(-3,6)$$
   • $$(6,3)$$
   • $$(-6,3)$$