SOLUTION: Help please!!! I have to write an equation in vertex form for two parabolas. first has vertex at (0,5) and point (10,0) second has vertex at (0,4) and point (1,2) Thank

Question 524018: Help please!!!
I have to write an equation in vertex form for two parabolas.
first has vertex at (0,5) and point (10,0)
second has vertex at (0,4) and point (1,2)

Thank you so much.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I have to write an equation in vertex form for two parabolas.
first has vertex at (0,5) and point (10,0)
second has vertex at (0,4) and point (1,2)
**
Standard form of equation for parabola: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex, A=multiplier which affects steepness or slope of the curve.
..
For vertex (0,5) and point (10,0)
Equation: y=A(x-0)^2+5=Ax^2+5
solving for A, using coordinates of point (10,0)
0=A(10^2)+5
-5=100A
A=-5/100=-1/20
Equation: y= -x^2/20+5
see graph below as a visual check

..
For vertex (0,4) and point (1,2)
Equation: y=A(x-0)^2+4=Ax^2+4
solving for A, using coordinates of point (1,2)
2=A(1^2)+4
-2=(1)A
A=-2
Equation: y=-2x^2+4
..
See graphs below:

RELATED QUESTIONS
i really need help with this. i thought to have an equation in vertex form and to find... (answered by Mathtut)

How would you write the equation {{{ -x^2+y-5=0 }}} in vertex form for conic parabolas? I (answered by checkley77)

HELP! I have been working on this for a long time and keep getting wrong answers. I... (answered by ewatrrr)

using the formulas for parabolas, graph and write the equations of parabolas with the... (answered by Nate,stanbon)

1. Re�write this quadratic equation from vertex form into standard form: y = (x � 4)^2 (answered by ikleyn)

Could someone help me with the following problem? Problem : A quadratic funtion... (answered by jim_thompson5910)

Help me please! I have to write the equation of the parabola in vertex form. (show all... (answered by lwsshak3)

PLEASE help me! I need to write an equation in vertex form when I know the vertex and... (answered by ewatrrr,solver91311)

While playing mini golf, you hit the ball off of a wall to attempt at making it in the... (answered by Boreal,greenestamps)