Question

How to graph quadratic functions, find and label the vertex, axis of symmetry, y-intercept, and max `f(x) = (x-7)^2-3`?

Answer 1

The given function represents a vertical parabola, opening upwards because the coefficient of `x^2` is positive.

Vertex is (7,-3). Axis of symmetry is x=7, Y-intercept is 46.

To graph the function, find x intercept also by solving `(x-7)^2`-3=0. x would be `(7 + sqrt3)` and `(7- sqrt3)`

Graph can be drawn now using these inputs.