Posted by Chelsea on Tuesday, September 21, 2010 at 2:47pm.
Find expressions for the quadratic functions whose graphs are shown. One graph has the point (4,2) plotted in which the parabola passes through (Ushaped parabola right side up) The vertex is at (3,0) and the parabola does not touch the yaxis for as much is shown.
So, I did this:
a(3)^2 + b(3) + c = 0
Solve: c = 12
For the point (4,2):
a(4)^2 + b(4)  12 = 2
Solve: 16a + 4b = 14
I am not sure if I am doing this correctly and I am also stuck at the is point. Please help.

Calculus  MathMate, Tuesday, September 21, 2010 at 5:19pm
c does not equal 12:
a(3)^2 + b(3) + c = 0
Solve: c = 9a  3b (not 12)
For the given parabola, since the vertex is (3,0), and knowing that parabolas are symmetrical with respect to the vertex, we therefore have another point (2,2), the mirror image of (4,2) about x=3 passing through the vertex.
The three known points give rise to three equations with three unknowns (a,b,c). Solve for a,b and c.
Answer This Question
Related Questions
 math  A parabola has the equation y = 4(x3)^27 Choose 2 true statements: A) ...
 math  A parabola has the equation y = 4(x3)^27 Choose 2 true statements: A) ...
 Parabola Help  by plotting the graph of parabola y=2+3x2x^2 which 3 option are...
 Math  A rectangle is inscribed between the xaxis and the parabola y=9x^2 with...
 Algebra  I'm trying this again, I'd like the quadratic form, so i can then work...
 math  Hello. Please, help me solve this: Parabola y = ax^2 + bx + c passes ...
 Algebra 1 parabola's  I have a graph with a parabola on it and asked to write ...
 algebra  Suppose a parabola has vertex (4,7) and also passes through the point...
 algebra  Suppose a parabola has a vertex (4,7) and also passes through the ...
 Math  Find an equation of the parabola that has the indicated vertex and whose ...
More Related Questions