Intermediate Algebra
posted by Anonymous on .
For the quadratic equation y=(x3)^22. Determine: A) whether the graph opens up or down; B) the yintercept; C)the xintercepts; D) the points of the vertex. and D) graph the equation with at lease 10 pairs of points.

Vertex Form: Y = a(xh)^2 + k.
A. The parabola opens upward because "a"
is positive.
B. Y = (x3)^2  2.
Let X = o and solve for Y:
Y = (03)^2  2 = 7. = Yint.
C. Let Y = 0 and solve forX:
Y = (x3)^22 = 0.
(x3)^2 = 2
Take sgrt of both sides:
x3 = +sqrt2
X = +1.414 + 3 = 4.14, and 1.59. = Xintercepts.
D. V(h,k) = V(3,2).
E. Select values of X below and above
h and calculate the corresponding value of Y.
(x,y). Y = (x3)^2  2.
(2,23)
(1,14)
(0,7)
(1,2)
(2,1)
V(3,2)
(4,1)
(5,2)
(6,7)
(7,14)
(8,23). 
for the quadratic equation y=(x3)^22 determine A) weather the graph opens up or down B) the y intercept; C) the x intercept D) the points of the vertex and E ) graph the equation with at least 10 pairs of points