Question

How do you graph the function, label the vertex, axis of symmetry, and x-intercepts. `y=x^2+3x-5`?

Answer 1

x of vertex:`(-b/2a) = -3/2`

y of vertex : `f(-3/2) = 9/4 - 9/2 - 5 = -9/4 - 20/4 = -29/4`

x- intercepts;

`D = d^2 = 9 + 20 = 29 -> d = +-sqrt29`

`x = -3/2 +- (sqrt29)/2`