33.9k views
1 vote
Which quadratic function has a vertex point of (3,5) and passes through the
point (-2,55)?

1 Answer

3 votes

9514 1404 393

Answer:

f(x) = 2(x -3)² +5

Explanation:

For vertex (h, k) and scale factor 'a', the vertex form is ...

f(x) = a(x -h)² +k

We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.

55 = a(-2 -3)² +5

50 = 25a . . . . . . . . subtract 5

a = 2 . . . . . . . . . . . divide by 25

So, the function is ...

f(x) = 2(x -3)² +5

__

In standard form, that will be ...

f(x) = 2x² -12x +23

User Ashishmohite
by
7.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.