What is the axis of symmetry for the function? y = x^2 + 3x - 4

find the vertex using completing the square or some other method you learned.

if the vertex is (h,k), the axis of symmetry is x = h

To find the axis of symmetry for the function y = x^2 + 3x - 4, we can use the formula:

Axis of symmetry (x = -b / 2a)

Here, we can identify the coefficients of the quadratic equation as a = 1, b = 3, and c = -4.

Substituting the values into the formula, we have:

x = -b / 2a
x = -3 / 2(1)
x = -3 / 2
x = -1.5

Therefore, the axis of symmetry for the function y = x^2 + 3x - 4 is x = -1.5.