SOLUTION: Help me please! I have to write the equation of the parabola in vertex form. (show all work) The vertex is (0,4) and it passes through point (1,2) Thank you for your help

Algebra ->  Rational-functions -> SOLUTION: Help me please! I have to write the equation of the parabola in vertex form. (show all work) The vertex is (0,4) and it passes through point (1,2) Thank you for your help      Log On


   

Question 523896: Help me please! I have to write the equation of the parabola in vertex form.
(show all work)
The vertex is (0,4) and it passes through point (1,2)

Thank you for your help.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Help me please! I have to write the equation of the parabola in vertex form.
(show all work)
The vertex is (0,4) and it passes through point (1,2)
**
Standard form of equation for parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex, A being a multiplier which affects the steepness or slope of the curve.
For given problem:
y=A(x-0)^2+4
y=Ax^2+4
Using given point (1,2) to find A
2=A(1)^2+4
A=-2
Equation:
y=-2x^2+4