Question

A sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d

Answer 1

• c= - 4, d = 7

Explanation:

Given function:

• y = x² + cx + d

The vertex is (2, 3)

We know the vertex form:

• y = (x - h)² + k, where (h, k) is vertex

Substitute coordinates to get:

• y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7

Compare with given to find out:

• c = - 4, d = 7