Question

A quadratic equation has an axis of symmetry at x = 7 and has a

maximum value at -3. Write the equation.
g(x) = -3(x – 7)?
O g(x) = -(x + 7)2 – 3
O g(x) = -(x – 7)2 – 3
og(x) = (x – 7)2 – 3

Answer 1

g(x) = (x - 7)² - 3

Explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (7, - 3) and a = 1, thus

g(x) = (x - 7)² - 3