Whats the vertex, y intercept, x intercept, domain and range?

Question

F(x)=(x-7)^2-4

What is the vertex, y intercept, x intercept, domain, and range?

Answer 1

By inspection,

h = 7

k = -4

The vertex is (7,-4). The domain is all real numbers. The range is all real numbers ≥ -4.

To get x-intercepts, set F(x)=0, express in standard form, then use the quadratic formula to solve for x. To get the y-intercept, plug x=0 into F(x) and evaluate.