Assignment 2
Problem #6
Heather Robinson
EMAT 6680, Fall 2003
0. The graph of y = 2x2 + 3x Ð 4 is graphed below. This is a parabola pointing upward
with a vertex at (Ð1, -5).
1. Replacing each x with (x Ð 4) maintains all the properties of the original graph, but
moves the vertex of the parabola to (3.25,-5.125).
2. To move the graph into the second quadrant, the equation of the parabola must be
rewritten asÉ 2(x + 4)2 + 3(x + 4) + 4. The vertex of this new parabola is (-4.75,
2.875).
3. To produce a graph that is concave down with the same vertex as #2, the equation of
the parabola must be rewritten asÉ -2(x + 5.5)2 + 3(x + 5.5) + 1.75.