Question

Answer the following The sign of a is : a. positive B .Zero C.Negative The value of h is given by h The value of k is given by k

Answer 1

`\begin{gathered} f(x)=a(x-h)^2+k \\ f(x)=ax^2-2ahx+h^2+k \end{gathered}`

Since the function is concave up, the leading coefficient a must be positive.

Then: The sing of a is positive

The function is expressed in its canonical form, where h and k are the x and y coordinates of the vertex, respectively.

We can check in the graph that the vertex coordinates are (-5,-4).

Therefore, we have:

The value of h is given by h = -5

The value of k is given by k = -4