SOLUTION: What is the standard formula for the quadratic function that has a vertex of (0.5,4) and passes through points (-1.5,0) and (2.5,0)?

Algebra.Com
Question 715160: What is the standard formula for the quadratic function that has a vertex of (0.5,4) and passes through points (-1.5,0) and (2.5,0)?
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
What is the standard formula for the quadratic function that has a vertex of (0.5,4) and passes through points (-1.5,0) and (2.5,0)?
**
Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex.
For given function:
y=A(x-0.5)^2+4
solve for A using one of given points (-1.5,0)
0=A(-1.5-0.5)^2+4
0=A(-2)^2+4
4A=-4
A=-1
Equation: y=-(x-0.5)^2+4

RELATED QUESTIONS

What is the standard form for a parabola that passes through the points (2,3) and has a... (answered by lwsshak3)
Find the quadratic function y=f(x) whose graph has a vertex (-2,3) and passes through the (answered by Solver92311)
write an quadratic function that has a vertex(-2,-4) and passes through the points... (answered by josmiceli)
What is the standard equation for the circle that passes through the points: (-5, 0)... (answered by lwsshak3)
Give an example of a quadratic equation in standard form that passes through the points... (answered by scott8148)
If a quadratic function has is written in standard form (y=ax^2+bx+c)and it has a vertex... (answered by josgarithmetic)
If a quadratic function is written in standard form (y=ax^2+bx+c) and it has a vertex of... (answered by josgarithmetic)
1. Re–write this quadratic equation from vertex form into standard form: y = (x – 4)^2 (answered by ikleyn)
Write the standard form of the quadratic function with a vertex of (-3, 5) that passes... (answered by josgarithmetic)