SOLUTION: Find a quadratic function of the form y=ax^2 that passes through the point ​(​3,-27).

Algebra.Com
Question 1176697: Find a quadratic function of the form y=ax^2 that passes through the point ​(​3,-27).
Answer by math_tutor2020(3816)   (Show Source): You can put this solution on YOUR website!

y = a*x^2
-27 = a*3^2 .... plug in (x,y) = (3,-27)
-27 = a*9
-27 = 9a
9a = -27
9a/9 = -27/9 ..... divide both sides by 9
a = -3

Answer: y = -3x^2

RELATED QUESTIONS

Find a quadratic equation of the form y=ax^2 that passes through the point (3,... (answered by ikleyn,Solver92311)
a quadratic graph has maximum point (2,5) and passes through point (0,-3). Find the... (answered by Fombitz)
Write a quadratic function whose roots are 2+radical of 3 and 2- radical of 3 and passes... (answered by stanbon)
Find the quadratic function y=f(x) whose graph has a vertex (-2,3) and passes through the (answered by Solver92311)
A quadratic function has an axis of symmetry of x=4, a y-intercept of 33 and also passes... (answered by Edwin McCravy)
Find a quadratic funtion in the form y=ax^2+bx+c That passes through the points (answered by ankor@dixie-net.com)
find the quadratic function in the the form y=ax^2+bx+c that passes through the points... (answered by solver91311)
Write a quadratic function whose roots are 2+√3 and 2-√3 and passes through... (answered by josgarithmetic)
Determine the quadratic function f whose vertex is (1,-3) and passes through (2,-1).... (answered by lwsshak3)