Whats the answer?

Question

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

Whats 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 (since the parabola opens downward because of the negative sign). 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.