Part A: To write the function in vertex form, we need to complete the square.
f(x) = 15x² + 60x + 19
f(x) = 15(x² + 4x) + 19
f(x) = 15(x² + 4x + 4) - 15(4) + 19
f(x) = 15(x + 2)² - 60 + 19
f(x) = 15(x + 2)² - 41
Therefore, the function in vertex form is f(x) = 15(x + 2)² - 41.
Part B: The vertex form of a quadratic function is f(x) = a(x-h)² + k, where (h, k) is the vertex.
In this case, the vertex is (-2, -41).
Consider the function f(x) = 15x² +60x19. 2
Part A: Write the function in vertex form.
Part B: Name the vertex for the function.
1 answer