198k views
3 votes
What is the function of this?

What is the function of this?-example-1
User Itodd
by
8.2k points

1 Answer

1 vote

The quadratic function shown in the graph is f(x) = (3/4)*x².

How to find the quadratic function?

For a general quadratic function with a leading coefficient a, and a vertex (h, k) is written as:

y = a*(x - h)² + k

Here we can see that the vertex of the parabola is at (0, 0) so we can write:

y = a*(x - 0)² + 0

y = ax²

Now we also can see that the graph passes trough the point (2, 3), replacing these values in the equation we will get:

3 = a*2²

3 = a*4

3/4 = a

Then the function is:

f(x) = (3/4)*x²

User David Liao
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories