Given h(x) = 4x + 2 and k(x) = 4x + 1, which statement accurately describes all the range values the two graphs have in common? 0 (-∞, 1) 0 (-∞0, ∞) 0 (1, 0) O (2,0⁰)

10. Given h(x) = (x-1)3(x+ 1)4(x-3)2. (0) Determine the degre and end lbehavior 7 e degree and end behavior. Degree (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph bounces of the x -axis or crosses through the x -axis. (c) Find the y-intercept. (d) Sketch a graph of the function 8 7 -6 2 3 4 5 6 7 8 9 10 11 1 11 -109431

Sketch the graph

Which statement explains the difference between the graphs of f(x) = x² and g(x) = -(x2 - 2)? The graph of f(x) is obtained by flipping g(x) over the x-axis and shifting up 2 units. A) The graph of g(x) is obtained by flipping f(x) over the x-axis and shifting up 2 units. B) The graph of f(x) is obtained by flipping g(x) over the x-axis and shifting left 2 units. The graph of g(x) is obtained by flipping f(x) over the x-axis and shifting D) left 2 units.

graph

Given the functions Ax) = x -9 and g(x) = x- 5x+ 6 determine the equation(s) of the vertical asymptote(s) of the function Ax) - y = g(x) x = 2, x = 3 Ox-2 X = x = 3, x = -3 x = 3 acer Pause

Consider the four graphs shown below. Select all graphs that satisfy the following four conditions: • f"(x) 0 when x 3, • f(-1) = -3, and . • f(1) = -1. 0 14 -20 -4 -4 -2 f(x) 2 0 -7 -4 -64 4, f(x) 41 f(x) 2 -2 W √2+ -44 -64 -8+ 4 2 4 2 X X X f(x) -2 0 2 4 W -2 X

9. Let n(x) = -x² + 4x-1 (a) Write n(x) in vertex form. (b) Sketch the graph of n(x).

Compare the graph of n = +x). 1 with n(x) =x². 1 n = 6) - 1 shifts left 36 units, shifts upward 1 units, and shrinks by a factor of 9 n = 1 shifts left 6 units, shifts downward 1 units, and shrinks by a factor of 81 x+ 6)| – 1 shifts right 36 units, shifts upward 1 units, and shrinks by a factor of 81 1 - 1 shifts right 6 units, shifts downward 1 units, and shrinks by a factor of 81 N = 1 (x+ 6) 1 shifts right 6 units, shifts upward 1 units, and shrinks by a factor of N = 81

The point (0,0) belongs to the graph of the function g(x). What is the corresponding point on the graph of the function f(x)? 9(x) = –}f(x) +3 O (0,6) O (0,3) O (3.0) O (0,0)