64.8k views
5 votes
A parabola opening up or down has vertex(0,2) and passes through (-20,-18). Write its equation in vertex form.

1 Answer

3 votes

Final answer:

The equation of the parabola with vertex at (0,2) and passing through the point (-20,-18) is y = -1/20(x²) + 2.

Step-by-step explanation:

The student is asking for the equation of a parabola in vertex form that opens up or down, has a vertex at (0,2), and passes through the point (-20,-18). The vertex form of a parabola is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola. Here, h = 0 and k = 2, so the equation simplifies to y = a(x²) + 2.

We can find the coefficient 'a' by plugging in the coordinates of the given point (-20, -18) into the equation. So we get:

-18 = a(-20²) + 2

From this equation we can solve for 'a':

-18 = 400a + 2

-20 = 400a

a = -20 / 400

a = -1/20

Therefore, the equation of the parabola in vertex form is y = -1/20(x²) + 2.

User Sparker
by
8.1k 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