193k views
2 votes
What is the vertex of a parabola represented by the equation f(x) = -2 (x-4)^2 - 7

User IanC
by
7.9k points

2 Answers

4 votes

Final answer:

The vertex of the parabola represented by the equation f(x) = -2 (x-4)^2 - 7 is (4, -7), which is evident from the equation's vertex form.

Step-by-step explanation:

The vertex of a parabola represented by the equation f(x) = -2 (x-4)^2 - 7 can be found directly from the equation itself. This is because the equation is already in vertex form, which is f(x) = a(x-h)^2 + k, where (h, k) is the vertex of the parabola. For the given equation, the vertex is at (4, -7), corresponding to the values of h and k in the formula. Counting the number of parts that add up to $24 will give us the number of weeks Sarah needs to save. This model visually supports our equation and helps us solve for W. In this case, W equals 4 because 6 dollars times 4 weeks equals the 24 dollars needed for the art supplies.

User Xplat
by
8.1k points
7 votes

Answer:

f ( x ) = x ^2 + 1

f ( x ) = 7 x^ 2 + 5 x − 4

f ( x ) = 4 ( x − 3 ) ^2

Step-by-step explanation:

User Alex Belyaev
by
7.8k 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