SOLUTION: Determine an equation for the quadratic function 1. the y-int is 2 and vertex (4,-2) 2 the x-int (3,7) and min value is -8 3 the vertex is (-2,4)

Algebra ->  Equations -> SOLUTION: Determine an equation for the quadratic function 1. the y-int is 2 and vertex (4,-2) 2 the x-int (3,7) and min value is -8 3 the vertex is (-2,4)      Log On


   

Question 1058130: Determine an equation for the quadratic function
1. the y-int is 2 and vertex (4,-2)
2 the x-int (3,7) and min value is -8
3 the vertex is (-2,4)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
#2,
(3,7) is not any x-intercept.
Vertex is the minimum value and you have no information given to find x-value for the minimum. Minimum, (?, -8). Not a definite point.

#3,
Not enough information to determine the function. The leading coefficient stays unknown and not determinable.

#1
This can be solved.
y=a%28x-4%29%5E2-2
-
a%28x-4%29%5E2=y%2B2
a=%28y%2B2%29%2F%28x-4%29%5E2
Substitute the y-intercept:
a=%282%2B2%29%2F%280-4%29%5E2
a=4%2F16=1%2F4
-
highlight%28y=%281%2F4%29%28x-4%29%5E2-2%29