69.0k views
2 votes
Which is the equation of the parabola?

coordinate plane with a parabola facing down with vertex at negative 3 comma 0, the point negative 3 comma negative 5 and a horizontal line going through 0 comma 5

y = −one twentieth(x − 3)2
y = −one twentieth(x + 3)2
y = one twentieth(x − 3)2
y = one twentieth(x + 3)2

1 Answer

3 votes

Answer:

  • y = -1/20(x + 3)²

Explanation:

Consider the parent function:

  • y = x²

The graph of the function open up and the vertex is at the origin, the point (0, 0)

Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:

  • y = -x²

The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:

  • y = -(x + 3)²

Since all the options have 1/20 as a coefficient, our function is:

  • y = -1/20(x + 3)²

This is option B

User Dale Alleshouse
by
8.3k 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