Draw a graph of the function labeling the Vertex Axis of Sym

Draw a graph of the function labeling the Vertex, Axis of Symmetry, and two other points. Find the vertex, equation of the axis of symmetry, horizontal intercept(s), vertical intercept, domain, and range of the function f(x) = (x -3)^2 - 4 Vertex: _________ Equation of the Axis of Symmetry: __________ Domain:

Solution

f(x) = (x -3)^2 -4

vertex : ( 3,-4)

f(x) = x^2 + 9 -6x -4 = x^2 - 6x + 5

Axis of symmetry: x = -(-6/2*1) = 3

x = 3

horizontal intercept : plug y =0 ; x = 3+/-2

( 5 , 0) and ( 1 ,0)

vertical intercept : plug x=0 ; y = 5 ; ( 0, 5)