Answer:
Step-by-step explanation:
We want to write the equation for a quadratic function in vertex form with vertex at (-1, 6) that passes through the point (-3, 4).
Vertex form is given by:
Where (<em>h, k</em>) is the vertex and <em>a</em> is the leading coefficient.
Since our vertex is at (-1, 6), <em>h</em> = -1 and <em>k</em> = 6. Substitute:
Simplify:
Next, since the quadratic passes through the point (-3, 4), f(x) = 4 when <em>x</em> = -3. Substitute:
Solve for <em>a</em>. Simplify:
Hence:
Therefore, our function in vertex form is: