Describe the graph of a function with an axis of symmetry wh

Describe the graph of a function with an axis of symmetry whose x-value is the opposite of the axis of symmetry of h(x). Write the function in standard form to support your answer h(x) = -3x^2 - 12x + 4

Solution

h(x) = -3x^2 - 12x + 4

finding axis of symmtery of the function h(x)

axis of symmtery is x = -b/2a

x = -(-12) / 2(-3) = -2

x = -2 = axis of symmtery

finding a function whose axis of symmtery is x = + 2

so the function would be

f(x) = -3x^2 + 12x + 4