Question

Write the equation of the parabola in vertex form
​

Answer 1

f(x)= - 4 (
`x^(2)`) + 3

Explanation:

1. start with f(x)=a(
`x-p)^(2)`+q

2. in that vertex is (p,q) noticing that use given vertex(0,3) and change the equation/function --> f(x)=a(x-0)+3 --> f(x)=a(
`x)^(2)`+3

3. Then use the give point and substitute to find "a" value --> - 1 = a(
`1)^(2)`+3

--> - 1 = a + 3 --> a= - 4

4. put the "a" value into the #2. function/equation --> f(x)= - 4(
`x)^(2)`+3