SOLUTION: If the parabola y-2=a(x-30^2 goes through the point (2,0), what is the value of a?

Question 467441: If the parabola y-2=a(x-30^2 goes through the point (2,0), what is the value of a?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
If the parabola y-2=a(x-30^2 goes through the point (2,0), what is the value of a?
..
I will assume you meant to write given equation as follows:
y-2=a(x-30)^2
plug in (x,y) coordinates from given point (2,0) into equation
0-2=a(2-30)^2=a(28)^2=784a
a=-2/784=-.0026
equation: y=-.0026(x-30)^2+2
This is a parabola which opens downward with vertex at (30,2)
a=-.0026
RELATED QUESTIONS
if the parabola y-2=a(x-3)exponent 2 goes through the point (2,0), what is the value of a (answered by Born2TeachMath)

If the parabola y - 2 = a(x-3)^2 goes through the point (2,0), what is the value... (answered by Earlsdon)

if the parabola y-2=a(x-3)^2 goes through point 2,0 what is the value of a. i think the... (answered by richwmiller)

I didnt get at all much further with this problem; If the parabola y-2=a(x-3)^2 goes... (answered by rfer)

What is the value of c if the vertex of the parabola {{{y=x^2-8x+c}}} is a point one... (answered by ccs2011)

The graph of a certain quadratic y = ax^2 + bx + c is a parabola with vertex (-4,0) which (answered by MathLover1,ikleyn,MathTherapy)

the line of an equation with a slope of 2/3 goes through the point (3,5). What is the... (answered by SRCCE)

What is the equation of the parabola that goes through the points (2, �1), (1, 3), and... (answered by stanbon)

What is a point that goes through the line... (answered by stanbon,funmath)