SOLUTION: write the equation of a quadratic f(x) such that f(0)=8 and a vertex at x=0.

Algebra.Com
Question 156738: write the equation of a quadratic f(x) such that f(0)=8 and a vertex at x=0.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Since the vertex is at and (which means that when , then ), this means that the vertex is at the point (0,8). Now remember, the quadratic has the vertex (h,k). So this means that in this case and


Start with the general quadratic in vertex form


Plug in and


Subtract


So the quadratic equation which has the vertex at (0,8) is where "a" can be any number. For example, has the vertex at (0,8)

RELATED QUESTIONS

Find a function f such that the graph of f has a horizontal tangent at (2, 0) and f ''(x) (answered by nabla)
Let f(x) = 2x^2 − 8x − 7. Write the quadratic in vertex form (that is y... (answered by josgarithmetic)
1. Let f(x) = 2x^2 − 8x − 7. Write the quadratic in vertex form (that is y... (answered by stanbon)
Please help me solve this equation Let f(x) = 2x^2 − 8x − 7. (a) Write... (answered by josgarithmetic,MathTherapy)
Given the quadratic function f(x) = x^2 – 6x + 9, find a value of x such that f(x) = 25. (answered by ewatrrr,solver91311)
The graph of a quadratic function f(x) has a vertex at (−1,−4) and passes the (answered by ewatrrr)
Use the vertex (0, 3)and a point on the graph (2, 7) to find the general form of the... (answered by josgarithmetic)
Determine the equation of the quadratic function f(x) given that the vertex is (1,-5) and (answered by stanbon)
A quadratic equation f(x)=0 has a solution x= -1. Its graph has vertex at (3,4).What is... (answered by richard1234)