Question

Write the equation of the parabola in vertex form​

Answer 1

Answer:

f(x)= - 4 ($x^{2}$) + 3

Step-by-step 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