Graphing Parabolas - Page 4
Questions
- Prove that the paraboloids: #x^2/a_1^2+y^2/b_1^2=(2z)/c_1#; #x^2/a_2^2+y^2/b_2^2=(2z)/c_2#; #x^2/a_3^2+y^2/b_3^2=(2z)/c_3# Have a common tangent plane if: #|(a_1^2 a_2^2 a_3^2), (b_1^2 b_2^2 b_3^2), (c_1 c_2 c_3)|=0#?
- How to solve worded quadratic problems?
- Find the equation of a parabola, whose vertex is at #(-3,2)# and passes through #(4,7)#?
- Prove that the midpoint between focus and directrix of a parabola lies on the parabola?
- A student says that the graph of the parabola #y = x^2 + 1001# is "one thousand times larger" than the parabola #y = x^2 + 1#. Why is this not correct?
- A 20-ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. About how high does the top of the ladder reach?
- What causes parabolas to shift side to side or up and down?
- Draw the graph of #x=y^2+2y+2#?
- How to do questions a and b?
- A parabola has a vertex at #(5, 4)# and passes through #(6, 13/4)#. What are the x-intercepts?
- How do I make a parabola with the function y=1/2x^2 with the values -2, -1, 0, 1, 2?