Graphing Quadratics: Vertex, Axis of Symmetry, Intercepts 1 — Advanced Math

Questions in this quiz (6)

1. What is the vertex of the parabola $$y=(x-3)^2+2$$?

   • $$(-3,2)$$
   • $$(-3,-2)$$
   • $$(3,2)$$
   • $$(3,-2)$$

2. For the parabola $$y=x^2-4x+1$$ what is the equation of its axis of symmetry?

   • $$x=4$$
   • $$x=2$$
   • $$x=-2$$
   • $$x=-4$$

3. The graph of $$y=-2(x+1)^2+5$$ opens:

   • upward and is narrower than $$y=x^2$$
   • upward and is wider than $$y=x^2$$
   • downward and is narrower than $$y=x^2$$
   • downward and is wider than $$y=x^2$$

4. If the vertex of $$y=a(x-h)^2+k$$ is at $$(4,-3)$$ which equation below could represent this parabola?

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

5. What are the $$x$$-intercepts of $$y=x^2-9$$?

   • $$(0,3)$$
   • $$(-3,3)$$
   • $$(3,0)$$ , $$(-3,0)$$
   • $$(0,-3)$$ , $$(-3,0)$$

6. A parabola has vertex $$(0,-4)$$ and passes through the point $$(2,0)$$. What is its equation?

   • $$y=(x-2)^2-4$$
   • $$y=x^2-4$$
   • $$y=x^2+4$$
   • $$y=x^2-2x-4$$