Write the equation of the quadratic function given vertex V and point P. which lies on the function. Write the equation in vertex form f(x)=a(x-h)^2+k V(-9,9) P(4,-498)

Question

Write the equation of the quadratic function given vertex V and point P. which lies on the function. Write the equation in vertex form f(x)=a(x-h)^2+k V(-9,9) P(4,-498)

Answer 1

To write the equation of the quadratic function in vertex form given the vertex \( V(-9, 9) \) and a point \( P(4, -498) \) that lies on the function, we start with the vertex form of a quadratic function:

Here, \( (h, k) \) is the vertex of the parabola. Given the vertex \( V(-9, 9) \), we have:

Next, we use the point \( P(4, -498) \) to find the value of

. We substitute

and \( f(x) = -498 \) into the equation:

Simplify inside the parentheses:

Now, solve for

:

Now that we have the value of

, we can write the equation of the quadratic function in vertex form:

So, the equation of the quadratic function in vertex form is:

Question

Write the equation of the quadratic function given vertex V and point P. which lies on the function. Write the equation in vertex form f(x)=a(x-h)^2+k V(-9,9) P(4,-498)

Solution

Resposta